And by native, I mean Progressive Web Apps (PWA)
Primarily, this is meant to enable native look and feel for canvas apps, creating a seamless user experience on the desktop. PWAs can be installed manually, distributed on enterprise networks, and even published to app stores.
Usually, you have two options on how to run Power Apps: You can open them in a browser or in the player. On mobile the situation is a bit better with the Wrap feature, allowing you to package your app and the player in a single native app for iOS or Android.
Badges, notifications, and tasks are planned for the near future.
Check out the roadmap (with screenshots) here: