UT is right . Go to Radio Shak , they have the cables to go from out put ( on boom box ) to line in ( on pc ) .
Cool edit will let you record the tune ( start and end timeing is every thing ), listen to it and mess with it ( clean up bad starts and endings , mess with sound levels , etc...) then save it in MANY different file types .. I have found that variable bit rate MP3s sound better , but you need to make sure your player can do this.
Good luck