Yes, you do! The Hunting License tier includes the base game plus all Stretch Goals unlocked.
Any backers that pledge for the "Hunting Licence" tier, during the Kickstarter campaign only (not counting backerkit preorders) will also receive the Cleric class and all associated components that were unlocked through the Social Stretch Goal. Any $1 backers that upgrade to the Hunting License tier in the pledge manager will also receive the Cleric class.
The Cleric class is designed to fit in the expansion box, so the components will not have designated areas in the base game box.