Sure they do. This has been in place since Sept 30th.
"Quebec gives police legal tools to enter homes quickly to stop gatherings during COVID-19"
https://www.cbc.ca/news/canada/montreal/public-health-restrictions-quebec-covid-19-1.5745046
And in fact, there were also multiple warnings issues publicly before Christmas:
Eg:
While Quebec continues to shatter its COVID-19 daily case records, police around the province are warning the public that they will be out in full force making sure people are abiding by the social distancing measures.
“There will be additional staff that will be deployed in the field in order to respond to calls,” said David Pelletier, a spokesperson for the Quebec City Police Service (SPVQ).
Authorities say officers who will see violations will have a “low tolerance” for people’s holiday gatherings, Pelletier added.
Two weeks ago, Premier François Legault and the president of the Association of Quebec Police Directors Robert Pigeon announced that the time for police officers to issue warnings was over.
Police in Quebec plan to be out in full force during holidays to enforce COVID-19 health rules
It seems absurd but if there was more enforcement early on, maybe we wouldn't be here.