I recently finished my basement (~150sq.m. / 1500sq.ft.), I'm nerdy so be prepared. I bought a 300m spool of CAT6a, and ran about 13 drops.
I ran (myself) network to about every other power outlet, 1 stud away from the power. And one to my ceiling (central) for a WiFi access point. This is hands down the most important one for me. Super clean looking and powerful WiFi. I also included power and network in 3 closets (never know where I'll want my NAS) and to the outside corners directly into weather resistant junction boxes so no wire is exposed (cameras). Each of the 3 rooms got 2 (opposing corners), the kitchen, all along the main room wall, and to a built in bookshelf that has become my TV cabinet (receiver/amp + Nvidia Shield feeding to a projector in the main room).
I did not bother with 2 runs everywhere because switches are just too easy and/or WiFi. Heck a basic switch can even be powered over POE so minimal wiring needed. And everything runs back to a "structured media cabinet" housing my fiber-ONT (so I had the ISP move my fiber here), router, switches, and network patch panels for the whole house. Ask the electrician (a low voltage kind) to "terminate to an Ethernet patch panel" so it's easier for you to use. Also demand that they do NOT staple the wires, and test each for at minimum perfect 1 gigabit performance, probably 10Gb at these ranges.