Driverless vehicles is still new enough that there is not really a mainstream method of insuring those vehicles. That does not mean those vehicles without a live person behind the wheel is driving without insurance.
Some of the biggest insurance companies are still figuring out how to properly price driverless cars. The death of pedestrian in Tempe, Arizona certainly put a greater spotlight on who pays and how much when a vehicle without a driver is involved in an accident.
Firms like Uber and Alphabet, Inc plan on launching thousands of these vehicles in the coming year. How it all shakes out will certainly be interesting.