"I wonder what life here will develop into during the next 2.4 billion years."

Genetic evolution is worse than watching grass grow. What is zillions of times faster is human evolution- the "software" rather than the "hardware".
Of course with human evolution the software can change the hardware. So, there is a chance we will have dinosaurs in our future along with never before "seen" types of life.

The human software has already changed the hardware in itself and in other lifeforms- which we normally called domestication- cats, dogs, cows, grapes, apples, corn, etc.
and of course humans will probably continue to do this.

For instance without using any high tech, it's possible humans could alter other primates- given only a couple thousand years. Just with the type of interaction as we have have with other domesticated animals.

Using the high tech at moment, and/or higher tech of future it seems probably that we will alter our hardware and make other types of creature and could do this within 100 years or within a few centuries.

The God-type question of any evolution- whether one is talking about hardware or software- is it progressive [or ever "improving"]? To me this is somewhat unclear.

Some famous evolutionary biologists normally think of the long slow evolution of hardware as mostly been random affair- the environment changes and best randomly selected variant is more successful at breeding. That this process is not progressive. So the human isn't a result that is "better" or best from long process of evolution- but is best thought of as merely an accidental occurrence.

But these same evolutionary biologists would probably think there is at least a possibility of progressive evolution in terms of software- and they are probably lefties and atheists. This last aspect isn't uncommon, most people usually think that the human software will get better in the future- history seems to support this idea in general [though there is also this general assumption being if we don't kill everyone with our technology- i.e nuclear weapons].