I found this site which tracks the vaccination progress in Quebec :
How many people in Quebec have been vaccinated against COVID-19?
Here's some interesting tidbits :
About 76,32 % of adults over 18 have either have a first dose or an appointment taken for a first dose (which means around 62,33 % in total population)
They estimate we should reach 75 % of first doses admnistered for adults over 18 on June 1st (with a 76 k doses per day pace) and 75 % of second doses admnistered on august 4.
Montreal should reach 75 % on june 8 (we are around 47 % right now).
In a Lapresse article, this morning, they're saying they now aim to have 80 % of adults over 18 vaccinated and think they can have at least 75 % in each age group.
Things are trending really well