All computers have a graphics card, or the equivalent on the motherboard - you would not see anything on the screen without it.
As a general rule you cannot do anything to change the graphics on a laptop - it's just not possible.
To find otu what graphics are in the laptop, download and run ADA32 click here this will tell you what is fitted.
You say his program wouldn't run - what error message did he get?
Can you give the make and model of the laptop too, please, and the name of the game.