If you're in the US (as Obinice pointed out), type your zipcode in the box in the top left and you've got your hyper local forecast and any relevant warnings and watches. I don't care for or want extra notifications, so that's a bit of a blindspot for me.
Also, if you're using firefox on android you can hit the 3 dots and "install" the zipcode specific forecast, which just gives you a shortcut to that page on your homescreen.