Will chlorine from pool damage or bleach grass

No, chlorine won’t damage artificial grass. However you need be aware that chemical and water residues can stick onto grass fibers and create calcium buildups and after certain time period, the turf might start looking whitish: the reality is that nothing wrong with the artificial grass but chlorine residues and water calciums got built up on the grass fibers. When such issues occur, you can use calcium cleaners to rub off these buildups.