If i spent a month in quebec city, would i have a chance to learn a lot of french?

Yes, you will learn french in Quebec City. The question you really should be asking is why do you want to learn french? It is an unpopular language globally and won't help you in most business scenarios, I would suggest Spanish, the third most spoken language in the world with almost 500 million users. Don't speak french, this world has enough frog talk.