After getting married, you absolutely must include your wife on your application. There is no way around that except divorcing her again.
I can tell you what happens if you don't. If you continue your application now as a single person, you are actually committing misrepresentation to immigration because you are no longer single, you are married. Likely they will not find out about this right away. However, it will come out at some point, at the latest once you are PR and in Canada and want to sponsor your wife. At that point, immigration will find out and you have a high risk of losing your PR. Even if they let you keep your PR, you will be forever barred from sponsoring the wife that you did not tell them about. I am not trying to scare you. This is the truth. Those are the rules. Ask anybody else and they will tell you the same.