The process of hosting an app on the Apple App Store involves several steps. Firstly, developers need to create an Apple developer account and register their app. They then need to prepare the app for submission by ensuring it meets all the technical and design guidelines set by Apple. This includes providing app metadata, such as the app name, description, screenshots, and keywords, as well as creating an app preview video. The app is then submitted to Apple for review, where it undergoes a thorough vetting process to ensure it meets all the guidelines and standards set by Apple. Once approved, the app is published on the App Store, and users can download and use it on their iOS devices.