It looks like you dont use a graphics card but are using your processor which can cause some problems. Most often not.
Which game is this?
I play many games on my school PC and it uses Intel HD 3000 (32/64 MB Vram) Plays starcraft 2 with no problems.
But please, dont look just on how much Vram your card has, look at the speed of it. It is mostly used when getting on really high resolutions such as dual monitors very often 512 MB is enough but not future proof.
Also dont rely to much on canirunit, its a good site to look for what it requires but not what you have, it says that my pc has over 8GHZ processor. And other crazyness.
Im here to help with all your concerns.