I don’t think that ‘free’ (elemental) chlorine is added to pool water as it would be far too dangerous to handle. They will use something like sodium hypochlorite, which isn’t volatile. The chlorine smell in swimming pools is ‘free’ chlorine produced when kids (and some adults !) pee into the water, and the urine reacts with the sodium hypochlorite, producing the chlorine.
Having just used sodium hypochlorite to clean my driveway I can confirm that it definitely smells strongly of chlorine straight out of the barrel and I assure you that I’m not peeing on it!