Graphical quality or, crispness is based on resolution. The textures themselves will also look better if they are supported for the resolution you're at, even if they aren't they will improve slightly in quality depending on the texture itself.
If you're talking about color quality a seven year old monitor may not be up to par, does it have HDMI at least?
I highly highly doubt it. This was not an expensive monitor and it was wayyyy before HDMI was even really a thing when we got this thing. It was the included monitor in a pre built home office computer.
I'd suggest a new monitor, at least 1080p with HDMI support.
What's with you and HDMI? Are DVI and DisplayPort not good enough?
I've been using DVI, and my god are they annoying to plug in. HDMI is just as simple as USB, DVI has those annoying screws.