Still no plates yet so I tried calling the finance guy at Sonnen VW last week to confirm when/if the data was transmitted to DMV. (We bought the car on a Sunday, and he promised us that it would be sent first thing in the morning on Monday.) He never called back, so I called DMV today. Apparently the dealership sat on it for 2.5 weeks, so were still at least a week and a half out from getting our plates and applying for the sticker.
Interestingly, my neighbor bought a Leaf in August & the Nissan dealership submitted both the registration info and the sticker application for her, so she didn't have to do anything following the purchase. She said it took just under 6 weeks for the stickers to arrive in the mail.