This suggestion comes up whenever the topic of self-driving cars arises, but I wonder if access to a fleet of self-driving cars would be more akin to a cheaper taxi service than a replacement for car ownership. I suspect that many people would still prefer to own their own (self-driving) car rather than rent one from a fleet only when required. However the privately owned self-driving car could still drive itself to the nearest charging station when not in use so I agree with your premise that self-driving and electric car technology has some synergies. Being a high-tech automaker, Tesla would be an obvious licensee for Google's self-driving technology once it matures.
Fair observation, but I think this sort of centralization will come after maybe 2 or 3 generations (40 - 60 years). With a long enough timetable I believe the sentiment behind private car ownership will dwindle until it becomes a hobby akin to collecting telegraph machines.