Maybe it's a little more complicated if you still have cable or something, but unless you're watching live sports, there's not much value there.
Monitors won't have an over-the-air tuner, so, you'd need to use an external device to watch broadcast TV.
HMDI from a computer to a monitor or a projector would work fine.
Maybe it's a little more complicated if you still have cable or something, but unless you're watching live sports, there's not much value there.