Hi Mr Doe,
Have a read about these 2 options -
http://www.online-tech-tips.com/computer-tips/how-to-capture-save-record-or-download-streaming-audio-for-free/Option 1 lives in your browser, so you just click a button when you want to record.
Option 2 is a stand alone program that you have to open in a seperate window.
In each case there is a minor bit of techo stuff required, I'm sure there will be an inexhaustible line of people willing to help you out.
Cheers - A