No move date is guaranteed. The official FAQ currently says the process should take weeks after receipt of the application and processing fee, but the outcome still depends on vetting, timely submissions, eligibility, visa availability and immigrant processing. Recheck the official page before relying on any timeframe.
Nothing is authorized until residence is granted
The official FAQ currently says the process should take weeks after the application and processing fee are received, assuming timely submission of additional documents and fees. That is general guidance, not a guaranteed household date: vetting, eligibility under the resulting employment-based category, visa availability and immigrant processing still affect the outcome. Hypothetical example: a Sainte-Brigitte-de-Laval founder plans to list the family home and enrol the children in a U.S.
school for the coming term on the assumption that payment produces a quick result. Nothing in the framework authorizes the family to live, work or study in the United States while the application is pending. If the family needs to be in the United States sooner, a nonimmigrant category with its own eligibility should be assessed separately.
Keep Québec employment, housing and schooling in place until residence is actually granted.