Here are the The Last of Us system requirements:
Minimum
CPU: 2.60GHz (2 CPUs) or better
RAM: 4GB
OS: Windows Vista, Windows 7
GPU: NVIDIA 9800 GT 1GB or AMD HD 4870 1GB or better
HDD: 60 GB
Recommended
CPU: Intel Core i5 @ 3.2GHZ (4 CPUs) / AMD @ 4GHZ (8 CPUs)
RAM: 8GB
OS: Windows Vista, Windows 7
GPU: NVIDIA GTX 660 2GB / AMD HD7870 2GB
HDD: 60 GB