No. Marriage to a Canadian citizen does not give you citizenship.
If you want to become a Canadian citizen, you must follow the same steps as everyone else. That is, there is not a special process for spouses of Canadian citizens to become citizens.
You must meet several requirements to apply for citizenship. Two of them are:
You must have been physically present in Canada as a permanent resident for at least 1,460 days during the six years immediately before the date of your application.
You must also be physically present for at least 183 days during each of four calendar years that are fully or partially within the six years immediately before the date of application.
If you are not a permanent resident or do not live in Canada, your Canadian spouse can sponsor you to become a permanent resident. See the processing times for how long this step might take.
When you are a permanent resident or if you are a permanent resident now, and you have lived in Canada long enough, you may apply for citizenship if you meet the other requirements. Use the residence calculator to learn if you have lived in Canada long enough.
There are different rules to determine if children of Canadians born outside Canada have Canadian citizenship.