Not normally. Usually pool water is fine for grass and most other plants. Some sensitive plants don't like it and in very arid areas salt levels can build up over years. But for the most part SWG pool water can be used to water the lawn.
I was wondering the same thing. We have had a ton of rain and my water level was above my skimmer so I drained of about 1.5 inches into my grass. I was hoping there would not be any issues, but I kept it off the plant just in case.