When I make an American Red Cross presentation on Disaster Preparedness, I tell people that the chorine sold for use in a swimming pool has other chemicals in it as well and is not a good source of long term drinking water. Most people consume from 1/2 to 1 gallon of water per day, and yet the suggested water use is 3 gallons of water per day per person. I would suggest that you use the swimming pool water for the other things we use water for (hygiene, cleaning, etc...), and not drinking it.
Although the NSF has some very high rated carbon filters, I do not know how well they would work on pool water. In an emergency, my present (unofficial) plan is that if I needed to use pool water to drink, I would put it through the best NSF rated counter top carbon filter I could get.