How would I use an LCD monitor as a TV (non HD content) if it is not plugged in to a computer. IE if I wanted to buy a Dell display, how could I use that as a TV and only a TV, if it is not plugged into a computer, and I just have a coax cable?
Go to http://rtv-veg.com/ and they have something that should work for you. They add TV tuner functionality through the vga input on your monitor, no computer needed.
Don't forget audio. You will need some external speakers to hear anything. You will probably also need an adapter or 2 to connect the speakers to whatever audio out the tuner has.
KWorld also makes some modules like the RTV units, and I think most of them have internal speakers/external audio out. These are the cheapest options, roughly $50. If you want to record TV, then you should get something along the lines of an EyeTV.