Hi Chris,
The DVI is basically a digital format, while VGA is anlog, thus the DVI images are crisper and the signal is less influenced by noise.(
http://en.wikipedia.org/wiki/Dvi)
No you cannot connect the DVI male connector to VGA female. You've got to get a video card that has a DVI female connector.
Although there are adapters for connecting VGA monitors to DVI connectors, not vice versa.