For a civil marriage, there are certain delays.
The first delay is the availability of the civil marriage officiant to receive you for an interview or a legal consultation if they are a notary. This period is variable depending on the celebrant you choose. Delays are usually longer in courthouses because they only celebrate marriages on Saturdays.
Then there is a delay imposed by law to be observed. The publication of a civil marriage notice must be done at least 20 days before the celebration on the website of the Directeur de l’état civil du Québec. This requirement is very important. Failure to publish a marriage notice could result in the marriage being declared void. If two people in a civil union wish to get married, they should not publish a marriage notice. For certain serious reasons, an exemption from publication may be granted by the Directeur de l’état civil.
It is then necessary to count the period of availability of the celebrant once the 20 days of publication of the notice of marriage have elapsed. This means that the minimum period for civil marriage is 3 weeks. It would therefore be reasonable to allow a period of 3 to 5 weeks to get married. The busiest day is usually Saturday. If you choose this day to get married, it may be that availability is scarce at short notice or more distant.