There are many ways you can find and download MP3's
1) Visit web pages and directly download them, I've found that this method is not very good as you end up going around in circles and most of the links are dead or relate to Pornography.
2) Do an ftp search on the Web using an FTP Search Engine such as Lycos. Again this is not effective as most sites are quickly deleted.
3) Visit a Mp3 link page such as Audiogalaxy. This is a good site if you want to trade, but you generally have to upload before you can download. Not good if your unsure how to upload.
4) The best method that I have found is using a client program which can be downloaded from www.napster.com. The interface is very easy to use and there is lots of variety just check out the number of mp3s listed below.