i'm a bit confused by what you mean it takes 13 months to get a license in Quebec. do you currently have driving experience from somewhere else and want to convert it to a canadian license? Or are you getting your first driver's license/can't prove driving experience?
If you do not currently have a license, and are getting your first license, there is a graduated system in Ontario, meaning you do not receive FULL license privileges at first. I'm assuming this is similar to what you are referring to in Quebec? The G1 license is like a practice license. It will take at least 8 months to get a full G2 license.
See here from the service ontario website:
Learning to drive: graduated licensing
Once you pass your eye and written tests, you get a G1 licence. Before you can get a full G licence, you have to:
finish two learning levels: G1 and G2.
pass two road tests
This process is called “graduated licensing.” It is designed to give new drivers time to practice and gain driving experience over time.
You have up to five years to finish the whole process. After five years, if you do not get your full G licence, you will need to start over.
G1 licence
By law, when you have a G1 licence, you must:
maintain a zero blood alcohol level (no alcohol in your blood)
make sure every passenger with you wears a properly working seatbelt
not drive between midnight and 5 a.m.
not drive on 400-series highways or high-speed expressways (e.g., 401, Queen Elizabeth Way (QEW), Gardiner Expressway)
drive with a fully licensed driver who has:
at least four years of driving experience
a blood alcohol level of less than .05 (if this person is 21 and under, their blood alcohol level should be zero)
The driver accompanying you must be the only other person in the front seat. If you are driving with a driver instructor certified in Ontario, you can drive on any road.
In most cases, you practice with your G1 licence for 12 months.
G1 road test
The G1 road test is the first of two you need to take as a new driver.
you can take your first road test after 12 months with a G1 licence
this exam tests basic driving skills (e.g., turning left and right, stopping, parking)
once you pass, you get your G2 licence
If you finish an government-approved driver education course, you can take your first road test after just eight months.