landing issues

Hi everyone,
Nice to meet y'all on the forum. I am new here but thanks for any answers i will ask now. My questions are;

After learning that to enter Quebec, an immigrant must have gone through the Quebec program,does it mean that if an immigrant lives in Toronto, he/she would not visit Quebec freely? would he/she have to apply for some sort of authorisation?

Next question is, If one immigrates to Quebec and obtains a permanent resident Card, can he/ she move to another province in Canada freely, if so, would it be difficult to get citizenship ? considering that his intended place of stay was Quebec ?.

The last question is; Do you think immigrating to Canada via the Quebec program has any advantage over those who take the federal program? Thanks alot.