If you don't use drugs, then you should already know you passed.
They probably take a week to come back. 2-3 weeks to call you back and let you know if you are hired.
Right now is a slow time for grocery retail. They might not be interested in hiring right away. They might wait until the week before Christmas to hire you. I think right now would be the time to hire and train you so you are ready for the Christmas rush.