You can do a lot with Android Auto, but what you can't do is install a web browser—at least not with the default, out-of-the-box configuration. It is actually possible to get a window on to the web ...

To add a shortcut for an Android app, long-press the app's icon and select Add to home screen. To make a website shortcut, open the site in Chrome, tap the three dots, and select Add to Home screen.