Ok, went to the pool shop (Leslie's pool supplies) today to test water. They tried to tell me about 4 different products as I imagined. Anyways, here are the results. (Before I put any bleach or anything)

Chlorine - 0
PH - 7.0
Total Alkalinity - 0
CYA - 50
Calcium Hardness - 70

Those are the only ones they gave me. (The pool is 48" tall, forgot to mention that) So do I go ahead and run the pump+filter and add the 2gal of bleach? (Also the bottles I bought are 1.4gal, would it be okay to pour 2 of these in?) Thanks again for all the information and time.