GeForce G 102M is an entry-class level GPU of the 100M Series released by NVIDIA, in 2009.
Since it only supports DirectX up to 10, games that use DirectX 11 are not supported and unplayable.
With only a 64 bit Memory Bus and a maximum of 512MB dedicated video memory, the performance is quite low so even though it supports DirectX 10, demanding games that use it, will only be playable at low settings. The performance depends a lot on the memory type used, which can be either DDR2 or DDR3.
Very demanding games like Metro 2033 or The Witcher 2 are certainly unplayable, even at the lowest settings and even demanding games like Crysis 2 and Skyrim V might be unplayable at low settings. Even less demanding, modern, games, like Sims 3, require reduced settings to run smoothly.