No. A VGA to DVI adapter would only make things worse, not better. You'll need to buy a separate video card to add DVI support.
However, while in the early days of LCD monitors there was a noticeable difference between VGA and DVI connections, that hasn't really been the case for a very long time. They are essentially indistinguishable now, so the only concern here is whether or not your monitor has a VGA port on it, since not all do. So unless you have one of the first couple generations of LCD monitors, don't bother spending any money on a video card thinking that you'll get a significantly better quality image using DVI.
My Desktop does not have a DTI plug in the back of the computer. Although I can still use the old VGA cable to the monitor but the quality in nothing like the direct connection.
Question...Would an adaptor make any different to the clarity... with the DVI cable to adapter to computer?
Hoping the samsung monitor can somehow look as good as the direct connection