So I looked more into your specific situation and figured out what happened here. Normally, climate skip would have most likely skipped your watering automatically because of the weather you have been seeing for the past week. We do this by tracking the estimated moisture in your soil using weather data and your zone settings, and if you have enough moisture in your soil to last until your next watering we will skip. However, when you are a brand new user and we have no past watering data, we assume your soil starts with no moisture to be safe. Therefore, when climate skip looked at your past weather and saw that rain you got, it determined it wasn't enough water to "fill" your soil moisture, and decided to water. After you run a schedule for the first time you shouldn't run into this issue again!
PS- I would put your one zone with shrubs on a separate schedule! Even if the schedule is identical to the other with all your grass zones, this will improve climate skip's performance. If you want more info on how that works let me know and I can give the whole explanation on how all of that works!