I'm sure the date of the latest applications being processed used to be shown on the front page of the Personnel Licensing section at
Personnel Licensing | Safety Regulation
It seems to just state 10 working days now
I recall mine took 3 weeks to the day
By the way, in the US your examiner issues a temporary airman certificate on the spot with the formal license following on some 2 months later, so you can exercise your PPL qualification immediately.