Yes, though I strongly recommend you get Windows 8.1 64-bit instead.
Windows 8 is much improved under the hood, and you can easily make the interface look like Windows 7 using Start8 which is only $5 USD. http://www.amazon.co.uk/dp/B00EZD3I5C/?tag=pcp0f-21
(You couldn't possibly have a CPU that doesn't support 64-bit Windows since you just built your PC. I think it's been well over TEN YEARS since the last 32-bit-only CPU was made for desktop.)