Google Photos works under an assumption that you will click photos, have your phone upload them to Google’s servers and that’s it - that’s the primary job. You need to navigate your way around apps to download or move your photos from Google Photos to your phone directly. You can save every photo in Google Photos on your device directly, only one by one, and that is more incredulous on part of Google than it sounds. However, Google Photos does not offer a clear way to download all your photos to your device, Android or iPhone, in one go, directly.
Google Photos is a great backup solution for the photos on your phone and lets you manage them on a computer or other devices, including Apple devices.