I understand you want to know how to update the graphics card in your computer.
Please note that the processor Intel(R) Core(TM)2 Duo CPU T5250 does not have a graphics card integrated. In this case the graphics controller is embedded in the motherboard.
Since you have a laptop with this specific processor, the best option to upgrade the graphics card in your system is getting a new system with a newer technology.
Nowadays, we offer the 3rd generation Intel® Core processors that are our latest products for desktop and mobile computers. The 3rd generation processor includes an onboard graphics card that will provide a great customer experience.
Another option will be to contact the laptop system manufacturer and confirm with them what other solutions can be applied in your system.