Look at the connections in the back of the TV: Do you see a connection that your moniter cord would connect into?
Either a VGA or DVI connection would work.
What are your choices here? It wasnt too clear in your first post.
1 TV vs. 1 Moniter?
Its a 19" moniter vs. a TV thats around 32", 27", 23"(diagonal)?
And what are your purposes for this PC? Gaming? TV tuner? Media(DVDs)?
And are you sure that you have an AGP slot?