They are generally fairly good about removing the snow. How fast they clear it is a function of how much snow fell and where we stand in the pecking order. The last snowfall we received it took about 8 hours until the parking lots were cleared. That was after a ~6 inch snowfall. It can take the shovel crew much longer when extreme cold temperatures hit after a snowstorm. This time of year, the apartment managers leave a shovel and a bucket of deicer for people that need to dig themselves out.
We've never had to wait for them to plow the parking lot. I stay up until 4 a.m. or so, so by the time I get up, the lot's been plowed. I don't own a shovel. At 78, and with a bad left shoulder, I'm not shoveling anything anyway. I have a long-handled broom-like scrapper to clear my car off. I use that to push the snow out of the way if it's piled up too much around the back of my car, or along the sides. They don't provide shovels here. Just rock salt for the walkway.