I'd suggest going ahead and getting some chlorine in there now instead of waiting any longer. You are pushing your luck with that long with no chlorine and hot weather. Add some bleach and then take a clean broom or something and stir it around. You don't want to chance a brand new pool with green water and it will happen way faster than you would think. Add a 3-quart jug of bleach. Walk around the perimeter of the pool and reach as far away from the side as you can and drizzle it in slowly and then stir it around.

Also, remember that a pool with no cya in it will lose chlorine fast. So, be prepared to test and add chlorine at least twice a day for the first week or so until you get a cya reading. And, if somebody is home in the afternoon, maybe even test/dose then, too.