Gameplay is the same, but you'll miss on some UI features. First of all - no map search function. That was one of the best improvements of the UI on PC, but all consoles are deprived of it, although iPad has it.
Another nice improvement missing - expanded minimap. No diplomacy ribbon neither.
You can't highlight some elements of the UI as well, such as the top infobar, or select to view graphs for individual AIs in the post-game statistics screens.
So it's all about some UI features missing. And, of course, no UI mods which make life so much easier.
Oddly enough, I find it easier to deal with the AI in the godawful deal screen on PS4 than on PC, unmodded of course. Make no mistake, CIV VI UI is just terrible and a real time waster, and controller here loses vs mouse&keyboard on all fronts, except, probably, the deal screen.