As I started to read this post, I chuckled to myself. When I first got started in home computers, it was with a Commodore 64, and like my brother's Apple IIe, we used a TV screen at first. It seemed like a very happy day when computer monitors finally got around to delivering good color, this is, more the 8 or 16 colors. Now things are starting to swing back to the idea of using a TV screen instead of a dedicated monitor. What's that old saying, "The more things change, the more they stay the same"?
Anyway, as Cleeve and others have said, yes its possible to use your TV if the TV is new enough and you have the proper outputs on your video card. I've done it myself a couple times, but I decided I liked the image displayed on my LCD computer monitor better. If anything, I tend to use my computer and its widescreen monitor to watch movies rather than to use my TV to play games. Just my opinion, and thanks for the nostalgic ride back to the past. Things sometimes seemed so much simpler then.