Unless you are using a custom auth, I wouldn't necessarily test if the auth works as that's code that you don't own. You will test auth each time you are testing an endpoint that uses the auth middleware anyway. So you will have to have a test which is for an authenticated user trying to access the page, and a guest user trying to access the page, so if the auth works properly the authenticated user will see the result of the page the guest will be redirected to the login page.
If you are doing Dusk tests, then you can test the login page as well.
Here is a good guide to start with for testing Laravel apps
He also has a course, but there is full Forum using TDD course here on Laracasts as well worth watching :)