When you're ready to root, please use the tutorial linked in my signature. It's easiest for us to help you troubleshoot if we know exactly which instructions you used (though rooting is relatively painless).
I started to dork around in the marketplace and eventually found a few things that were fun or useful... just went from there. Give it a shot and see what flips your switch.
One cool thing I started to do is use my phone to look up things I wondered about at random - you'll be amazed at how often you want an answer to an odd question and are able to find it. It's pretty cool.