It'll work, but if you are building it just now you are picking the wrong parts. The Haswell processors are out, they are about 10% faster and the same price, go with that. Also with a processor that fast its a bit of a waste to go with a GPU as crappy as a 250, cards priced that cheaply don't offer anywhere near the price to performance ratio of a card in say the $150 price bracket. See if you can cut the price down of your build in other areas to allocate money to a 650 Ti Boost or 7850.
Thanks for assuring me that they work together. I know the Haswell CPUs are out, but I thought the Ivy Bridge would be cheaper. I'm not concerned about the quality of the GPU because I'm currently using a rig with a Core 2 Duo E4600 @ 2.4GHz w/ 4GB of RAM, and a NVIDIA GeForce 9500 GT GPU with 1GB of shared graphics memory.