While I would agree that checking with CAE makes sense, the current situation in Canada/Quebec is pretty strict:
Foreign nationals who are eligible to travel to Canada
To be eligible to travel to Canada as a foreign national, you must meet the requirements for either
- an immediate family member of a Canadian citizen or permanent resident
- all other foreign nationals
You must also have a quarantine plan that shows how you’ll quarantine for 14 days when you arrive in Canada. This plan is mandatory.
Link to Canadian Govt page which elaborates on the extract above
It's certainly not a case of just turning up at the border.