Also notice, FFVII-IX are PS1 games, not PS2 games, which is why you'll need a PS1 memory card. No, you CAN'T plug it into a computer monitor. Computer monitors use completely different signals than TVs. That said, you CAN buy an adapter for a computer monitor, but I don't know why you'd want to.

Now I must ask, you do know that PS2 is for playing video games on, right?