The system requirements are detailed on the website and that system looks like it meets the minimum requirements, so it will run.
The graphics element of that PC is a bit on weak side, so turning down some of the visual effects will probably be required.
One of the best things about SB ProPE, is that you have the option to buy a time limited license for as little as 9.5 USD for one month.
That's not a lot of coin to find out definitively if it will run to your dad's satisfaction, as these things are somewhat subjective.
The online community has many vets and serving personnel, so if your dad has a headset and mike he will be very welcome to join multiplayer games. It's where SB Pro really shines and the fastest way to learn.