You're gonna need to rip the CD as an mp3/wma/real media file. Do a Google search for "free mp3 rip" and you'll get a ton of programs. Try to find one that seems the least invasive. What I do is rip the songs to wma using Window Media Player, then I use dBPowerAmp Music Converter to convert the wma to mp3. I do that because I don't trust mp3 rippers to be spyware free.

Make sure that you rip the file at a bit rate low enough so that the file is reasonably small.

Then, you'll need webspace. You can choose to either stream or store your files. There are some good free webhosting places out there (e.g. Tripod, Geocities), but they probably won't give you enough room to post your whole album at once. You'll have to do some research, or maybe someone else can help out there.

Finally, you'll have to post your URL here, so we can all have a listen!