WILL NFS Run game run on my pc



Based from minimum requirements is no; The cpu is sufficient, however you have no discrete graphics and 2GB is not enough meaning both fall under the minimum specs.

So you'll need to upgrade to 4GB, meaning adding 2GB - the best would if you take same model as the one that is currently in the system or buy two 2GB and a discrete such as 650TI
 
You left out what graphics card you have. If you don't have a discrete graphics card, don't expect to play any 3D games.

The GTX 650Ti is at a great price right now and can play all games on High + FXAA. You'll probably need to get a new PSU - about 400w or so, though. If you don't want to upgrade the power supply, get an HD 7750 - good for Medium + MLAA in all games.
 
A gt 630 is not going to play games. You need to move up to something better like a Radeon 7770 or GTX-650 at the very least. for about $175 a GTX 650 Ti Boost can be had which is an impressive card.
 


In one of his replies (the one below Jesster's suggest) he said he doesn't have that much money leaving 630 for 44 as a very good offer. Without knowing his budget. For a "good" gaming rig he will need to upgrade the gpu, adding more ram and replacing the current psu to any 450-600W 80PLUS or 80PLUS BRONZE. Upgrading to a quadcore would also be good but this may cost him to much (around 300$ depending what he upgrades)