Yeaaaahhhhhhh...no
"A motor scooter like a Vespa" is a motor-driven cycle. An M2 license is for *mopeds*.
From the DMV:
Class M2—You may operate any motorized bicycle, moped, or a bicycle with an attached motor, or a motorized scooter.
To California, a motor scooter like a Vespa is a small motorcycle. We have people all of the time swearing that a moped license covers a scooter. It doesn't.
Link:
Motorcycle Handbook License Requirements
MrKai is right. M-2 is for mopeds and MB's and such with 2 gross brake H.P. or less. A 600cc bike. (or anything over about 49cc) requires a M-1. Now with a M-1 you can ride anything on 2 wheels. And as I recall, for some reason, there is no license requirement for a scooter, ya just gotta be 16 Y.O. I'll look it up to make sure.
fatdaddy.
Just looked it up. A scooter needs no registration and may be ridden with ANY CLASS license.
This is under " Motorcycles Defined" on the DMV site.