I would run some electrical up the pergola, both 110v(Fan/TV/Heater/Decorative lights) and 12volt (accent lighting) into a outdoor rated box. I routed a 3/4" wide by 1/2" notch on the non visible side of the posts on mine and put a 1/8" thick x 1.5" wide aluminum over it with some finishing nails (My pergola is painted, but you can rip a piece of matching wood if your is stained. This beats running 1/2" conduit later if you need it and it's looks cleaner and may work better if your pergola posts are going through your countertops like mine.
For the Sink, I would also recommend a door so you can get to the plumbing etc. right now, my sink drains into a bucket,

. In the process of plumbing a drain (from the bucket to the main line), but that would be a while since I'd have to run the pipe across my walkway. going to do pavers later and will take care of that then. Do you have a drain?
Also a concern would be viewing the pool, but I know you are restricted on that. I have kids so they swim, I cook

. Add a TV out there or a monitor with some CCTV security cams to see the action on the pool side.