Laravel Valet assumes that you have a mysql server running yourself locally. You can't connect to the database by default. If you want that you need to install a tool like PHPMyAdmin. In general just putting 127.0.0.1 in the .env for the DB_HOST key should be enough to make your application connect to your local database.
If you need a database, try MySQL by running
brew install [email protected]on your command line. Once MySQL has been installed, you may start it using thebrew services start [email protected]command. You can then connect to the database at127.0.0.1using therootusername and an empty string for the password.
Documentation: https://laravel.com/docs/6.x/valet#installation