The fire, at 204 Bathurst Street at the corner of Wolseley Street, apparently started after a couch or mattress in front of the store was set alight.
The fire spread to the front of the building and caused considerable damage.
Three people living in the apartment above the storefront escaped without injury after a passerby called 911.
The area around Queen Street West and Bathurst Street was cordoned off for part of the morning.
Investigators say the fire may have been deliberately set.
So far, there is no estimate of damage.