Getting a concealed carry license takes from 1 month to 6 months depending on how many concealed carry licenses that need to be processed.
Check with your local state laws as some states don't even require you have a concealed carry permit to carry a handgun or shotgun in your vehicle or on your person.
As long as you're 21 or older and have no criminal record and can legally carry a handgun or shotgun then you don't need a concealed permit in some states.
So check with your state laws and if we knew the state you're in then I could say whether or not you'd need a concealed carry permit.