You probably associate a strong chlorine smell with a really clean pool, don’t you? The reality could not be farther from the truth. In reality, chlorine only has a strong smell when it reacts with impurities in the water. A well-managed clean pool has no strong chemical smell.
This is why it is strongly recommended that you shower BEFORE going into a public pool. This will wash away sweat, body oils, cosmetics and traces of poop and urine on your body. Otherwise, you’re just taking a dip into everyone’s dirty bathwater.