The atmosphere during this time period was in "hellish" conditions. It had a hot dense atmosphere of hydrogen, steam, CO2, methane and ammonia. In other words it had an extremely hot atmosphere with no oxygen. The climate was the same, extremely hot around 230 degrees celsius. Because of these extreme temperatures and only being the first billion years of  the earth's life no living thing existed. 

2. Oceans

At this time earth did not have oceans. The atmosphere was extremely hot and because of this boiling steam began to condense into oceans. Because the oceans was only begin to form there was no living matter in the water.  Calculations estimate that it was not until the end of Hadean liquid water existed, and oceans started to form. 

The major event in this eon is the earth being created by the big bang. The big bang created all matter in the universe including our sun and all the planets in our solar system. When earth was created the inside was layered in spherical shells. The first layer is a solid iron core, and surrounding that core is another core, a liquid outer core. Then the third layer is a mantle and the last is an outer solid silicate crust. The inner core heats the outer liquid layer. Which produces convection currents. This is what we call earth's magnetic field. In this time period earth's magnetic field were only developing, making earth more habitable.

During the hadean we got our moon. The moon was headed toward earth at tremendous speed. Earth's gravity managed to pull the moon into earth's orbit, and ever since then it is still orbiting earth. Because of the moon earth's rotation slowed down and we got seasons. 

4. Dominant species
Because of the atmosphere and climate there was no species evolved yet. But the chemical components of the building blocks of life started appear such as DNA.

5. Geographic Landscape

No one knows 100% what hadean looked like. But looking at the climate and because of the "hellish" conditions it was too hot to sustain life. There are neither no fossil record from this early in the timeline. The first found rocks are from hadean, and under this time huge meteors bombarding earth. Earth's surface was very unstable. By this information we can estimate that the hadean had mountains covered in lava. Because of the meatoirs bombarding the very unstable surface on earth it made "holes" in the ground creating mountains. The oldest rock found is the faux amphibolite. This rock is estimated to be 4,28 billion years old. Meaning it is from the end of hadean. 

Because of earth's unstable surface and the meteoirs bombarding it. It's appearance looked like the moon, meaning it had a lot of "holes", like cheese. Scared from the meteoirs. The moon hasn't change its appearance because it is "dead" The inner moon cooled down making the volcano process stop. It doesn't either have a atmosphere or water, and because of this the moon's appearance stopped changing. 

Because of the hellish conditions and warm temperature there was no living life during this eon. There was neither any water until the end of headen, and all organisms need  water to survive. Without water we wouldn't have any life at all. This means there were neither any predators or dominant spices. By this we can also estimate that there was nor plants or trees, because they are living matter too and need water to survive. 

7. Fossil records
There are no fossils found from this early in the timeline, because there was no living life yet. Only the building block of life started to appear such as DNA and RNA. The only thing found from this eon comes from meteoirs and lunar rocks.

8. How the environment shaped the forms of present life

Because it was so long ago there's not much you can see in present life that was created during hadean eon. 

However one thing we can see is our mountain. As I've said before earth's surface was a lot thinner and more unstable than it is today. This is because the heat development in inner earth was a lot stronger because of it's radioactive decay. In this time there was huge meteoirs bombarding earth, and because of its thin and unstable crust the meteoirs shaped earth's surface by making gaps. This happened because of the tremendous speed the meteoirs had and the unstable surface earth had. In hadean timeline water started to come and these "holes" soon became oceans and mountains. Which is what we see them as today. 

In conclusion you can say the meteoirs shaped our oceans and created our mountains. 

But because it was 4,6-4,0 billion years ago the oceans and mountains don't look the same as they did then and how they look now. 

This effects the present life because without water there would not be any present life. We need water to survive.  We also use the oceans as a great way of transportation, and if we wouldn't have any oceans maybe we wouldn't know e.x america existed. Meaning we wouldn't get effect by different cultures, meaning we wouldn't know half of the things we have existed. It would take a lot more time to figure e.x technology out when we aren't able to import stuff from countries outside europe. We wouldn't have e.x bananas. However we wouldn't either be able to export to other countries outside europe, and because of that we wouldn't make as much money. This effect sweden a lot e.x not affording school supplies or supplies at the hospitals.

It also affect present life by entertainment. We use mountains to ski which is a big thing for a lot of people. 

You could also say the whole solar system was created during hadean, so without it we wouldn't even have a world. We also got our moon and because of it we have seasons, and seasons help us with a lot e.x farming in the summer. This gives us food and without food we wouldn't be alive.