You could open the box and look at the labels on the card, but if it's on
the motherboard then that's not practical.  Check out Everest - it can
provide details of your hardware make and model.  You may need to get the
drivers from the manufacturer of the chipset if the card manufacturer can't
be found.
http://www.softpedia.com/get/System/System-Info/Everest-Home-Edition.shtml

The best source would be the CD that was supplied with your system, although
that version could be out of date by now.

It was probably this post that you are referring to:

When the correct screen resolution (screen area) or the right number of
colors are not available choices in display properties, settings tab, then
it is a good bet you do not have the right driver installed for your display
adapter.  The display adapter in your PC is either a video card or a display
chipset on the motherboard.

If you received a CD or floppy disks with drivers along with your PC, see if
they contain a display adapter driver and install it using: control panel,
system, device manager, display adapter.

If you know what display adapter your PC has but you have no disks, use
www.google.com to track down the correct driver on the internet.

If you do not know what display adapter your PC uses, you can go to a MS-DOS
prompt and type:  Debug       and hit enter.  The screen will display a
flashing prompt next to a - sign.  Type:  DC000:35 (DC000:50 may also work)
and hit enter.  The name and possibly model of your display adapter should
appear on the right hand side of the screen.  To quit Debug, type Q and hit
enter.  If Debug is not helpful, you can try this program:  Aida32 available
from:  http://www.aumha.org/free.htm  Your final option is to remove the
computer case, look at where the monitor plugs into the back of the case and
then check that location inside the case.  If there is a card there, you
have a video card and if there is a cable connected to the motherboard it is
on board graphics.  Write down any information displayed on either the card
or the chipset on the motherboard.  Then use www.google.com to search for
the information.  Do not include all the data you found in one search
message--search on each piece individually.  If you include all the
information at once, you might not get a hit.

I have found that a video card will generally have to be removed in order to
see the information.  Be careful of static electricity as it can fry
components.  Before touching anything in the computer case (the cord is
unplugged, right?), ground yourself to the case by touching it.  Don't work
on carpeting since shuffling your feet on it can generate static electricity
after you grounded yourself.  Remove the one screw that holds the card in
place and using a rocking motion (left to right and back), pull the card
straight out.