As long as you are connected to the device, Seestar will automatically take photos at the scheduled time. You can check the shooting status by clicking on the list. During shooting, you can be offline. After the shooting is finished, if you want to continue, you can set a second shooting plan while creating the first one (but the times cannot overlap).
Once the shooting is complete, the S50's arm will return to its position, but the device will not shut down. (If you want the device to shut down, you can find the auto-shutdown option in the advanced features of the app after connecting the device.)