It's a spring tightened MESH cover?

If so, your pool underneath is will be free of leaves and sticks, but likely very green. I'd start pouring plain 6% bleach in, about 5 gallons per 10K gallons of pool water. You can pour it THROUGH the cover, and then rinse the cover off with a hose. Don't pour it all in one spot.

By the way, you can't really do a "pool inspection" on a closed, cloudy, non-operating pool. If there's any way to do so, I'd make the real-estate closing conditional on having the pool inspected AFTER it has been opened -- let the current owner get it into condition so your inspector can ACTUALLY check it out.