Hello,
I have Cable internet access. I know that the cable connected through my modem has the TV channels on if I connect it to a TV. Is it possible to somehow watch the Cable channels on my computer? Thanks

Yes, you can with a TV card so it can accept input from the TV cable.

HTH

Possibly, but you need a cable splitter to split the cable, leave on end in the modem and the other goes into your TV tuner card. You then need some descrambler software.. which may or may not be available for your cable TV.