I forgot to mention that I really need to record video, but I need to record the audio as well. It would be pretty much useless with out the sound.
The Internet TV I am going to record from opens up in Windows Media Player.
If you go here
and click on "Live Internet Broadcast" you will get to a channel that I want to record. The show comes at 9 o'clock (UTC-8) so I still have some time.