I don't want to say RTFM, I really want to help you.
However, I found the instructions posted by TeamSpeak to be very good. Have you read those yet?
So here's what you should do if that last sentence didn't make any sense:
1. Go to the TeamSpeak site and download a client. (I don't have a link handy, but it was the first search result when I googled it)
2. Read their instructions on how to connect
3. Give it your best college try to get it running. Remember: the TeamSpeak guys cater to a less technical audience, and that might be you! So don't make any assumptions about how hard it will be. Give it a try.