Yes. I agree with everything Professor Massicotte has said, and I would just add as well that a Governor General can only refuse dissolution if she is prepared to appoint another Prime Minister in place of the one who's offered the advice of dissolution, because it's a standing convention that if your advice is refused by the Governor General, then the Prime Minister should offer their resignation.
In the circumstance of a minority government where there's an alternative possible government, then quite clearly the Governor General would be able to find an alternative. This should be worked out through informal discussions prior to any formal meeting between the Governor General and the Prime Minister.