I expect they'd treat us like we (the British empire) treated lesser foreign powers. They kind of already do, on the rare occasion they pay attention to little Canada. If they managed to gain direct power here, they'd treat us like the British treated their colonial subjects, or like the Chinese have already treated their westernmost minorities, and you can ask the Natives what that's like.
Unlike America, they're autocratic and openly, officially ethnocentric. That's bad news for anyone not an elite Chinese person, and in the long term it's bad news for even them, because purges.