When we removed the old light fixture, we discovered that the ceiling under it was still the old popcorn texture, so we sanded it down.
and then we repainted the newly exposed area, again using the Martha Stewart Heavy Cream color that the rest of the ceilings have.
Then we installed the new LED light fixture and wired it up.
This seems bright enough, at least without the cover. The lighting facts say it is 3000 Lumens at 4000 degrees (Bright White).
Without the cover
and presumably something less with the cover