The Los Angeles Fire Department says a second person injured in the crash was treated at the scene.
Firefighters got the call at 11:19 a.m. and found the minivan inside Donuts Plus Depot.
A search and rescue team is evaluating the stability of the structure.
Donuts Plus Depot was also struck by a garbage truck in 2017. The business was yellow-tagged after that crash.
The driver of the garbage truck was the only person injured in the crash.