Need to find out the name of the graphics card and and if driver is installed?

I am using Mint 12 on a lenovo machine. How do I find the exact name of my graphics card to download and install driver? Also is there any way to check if the driver is already installed or not?

One way:

Install the lshw tool with sudo apt-get install lshw lshw-gtk

Invoke the tool in the terminal with: sudo lshw

The easiest way is to use lspci:

lspci | grep VGA

On my system, this returns:

01:00.0 VGA compatible controller: NVIDIA Corporation GT216 [Quadro FX 880M] (rev a2)

To check which driver is loaded run this for NVIDIA cards:

lsmod | grep nv

and this for ATI cards (will return nothing if the proprietary driver is not loaded):

lsmod | grep radeon