The temp in those conditions will increase and there is no standard because you're not driving straight in a level surface. When you change the inclination of a road, you're adding more work to the engine. Add to that your 5 passengers and use of AC, so those add up to make it a non standard situation.
In this case since your temp went back to normal when you reached the top of the hill (good that you didn't shut it off to let it cool down) then I would say that you have no problems and the car just showed you signs of increased engine load.