One easy way to find out. Right click the desktop and go to Properties, then go to Settings, Advanced at the bottom, and then to Adapter in the tabs.
This should then list your card name.
The fact that yours is red leads me to believe its a Radeon 9800 mdoel, but I might be wrong if other cards have been red (only one i've heard of), and in that case, its fine, and maybe, a bit too good for what you want it to do
A sound card might be good for you, especially if you listen to music for example, and it does take load off your CPU.