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Without test results, there is no way to know, and your pool will be green before the week is up without chlorine.
You need to add about 1.5lbs of CYA (also called stabilizer) to protect your chlorine from the sun. Add it by putting it in an old sock in the flow of the return. Until you do that, I'd add a quart of bleach morning and evening to maintain chlorine in the pool. Once you have the stabilizer and it is all dissolved, you can just add the quart of bleach once a day until you get your test kit.
That might get you by, but it's all guess work without a test kit.