BitTorrent is not like other peer-to-peer applications (such as Winmx, Kazaa, Gnutella, etc.) in that it does not have its own "universe." Put another way, BT lives on top of the Web, which means that all of the searching/listing of available files is done on the web. When you find a file you want to download, you click on it and the BitTorrent client program will run and ask you where to put it, and then start downloading.

See the section Links to Popular BitTorrent Sites for some starting points on the web if you're new.