All you have to do is compare the specs on the computer with the specs on the game. Copy-paste them into two columns of a Word document to make it easier to arrange them point by point.
Processor speed looks decent (3.2 Ghz on your machine, 2.66 Ghz on the optimal config for the game)
RAM is fine (8 GB on the machine, 4 GB on the optimal config)
HD space looks really good (1 Terabyte is approximately 1,000 GB. If you're buying a brand new computer where 21 G is large percentage of your free space, I have a bridge to sell you.)
Graphics card looks good (NVIDIA GeForce GTX 470 on the machine, NVIDIA GeForce GTX 460 on the optimal config)
Internet connection supports 1000 Mbps, which should be broadband.
OS is fine (Win 7)
You'll have to inquire about the sound card and the DirectX, as those weren't listed (other than 'Sound card integrated') on the available specs.