If you're riding in a driverless self driving car then no you won't need a drivers license to ride in the driverless car.
But I doubt that driverless cars will ever be mainstream and sold to the public anytime soon if at all because there's still a lot of things that need worked out and honestly I wouldn't want to ride in a vehicle that no one is driving.
If you're behind the wheel of the driverless car you still need a drivers license to control the car when in operation should it need controlled.