Your G2010 has Intel HD graphics. Intel® Pentium® Processor G2010 (3M Cache, 2.80 GHz) Product Specifications
If you are asking about an add-on graphics card for a desktop with a PCIe x16 slot, you need to search for one that is COMPATIBLE with your motherboard.
You need to find out if your PCIe x16 slot is 2.0 or 3.0, and do the research yourself. Note that while current cards claim backward compatibility (3.0 -> 2.0), that is not always correct.
Best to contact the motherboard manufacturer and find out what cards they have tested and are known to work.