Forgive my ignorance, but will the Xbox One controller work with any game?

A fair amount of the reviews seem fairly negative.

Does that mean this would work?

https://www.amazon.com/Microsoft-Xbox-Controller-Cable-Windows/dp/B00O65I2VY/ref=sr_1_2?s=videogames&ie=UTF8&qid=1465920977&sr=1-2&keywords=xbox+controller+for+pc

Been meaning to get a controller for PC, so figured it'd be a good of a time as any.

I took advantage of the deal on the XB1 controller since my fiancé and I use our other two XB1 controllers to play FFXIV and still need one for the actual system! xD