Whether it will be monitored or not, as long as you are doing research on a tablet, you should not be told. Generally, this kind of electronic products may have some technical measures to monitor unless the content is confidential. If you just provide internet access or something else, there should be no teacher monitoring.
If you don't jailbreak, you won't be monitored, and the applications on the iPad won't be hidden. You can see all the applications at the bottom of the settings. If you don't want to reveal photos and privacy, it is recommended to carefully give the application access to all photos and not allow the application to track photos.