While you don't greatly need the outside world, it's still very reassuring to know that it's still there.

Set the time after which the current quote is refreshed. Use a tool like Plash (MacOS) to set this page to your desktop's background. Tap the image to toggle unnecessary interface elements.

To load the site with the interface not showing, and with a certain refresh rate, set querystring parameters like so: https://andiquote.org/?showInterface=0&refreshDuration=300.