You'll need to keep chlorinating it--you can do that by adding your usual dose of bleach (or whatever you use) and then either stirring up the water by getting in with old suits, or using your pole/brush, or broom, or whatever method you have. The filter won't be taking anything out of the water, but at least the chlorine will keep anything from growing in there. As long as you have adequate chlorine and you can see swimmers underwater, then you're ok to swim. When your power comes back on, I would shock the pool just for the heck of it.....
One of our mods, Watermom, is in the same position--she's on her 3rd day without power and has been doing the exact same thing I advised you above to keep her pool clear. I understand that it's actually hotter up there now than it is down here in Louisiana, so at least that would give you a place to go cool off!
Hope your power is restored quickly.
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