Do the study offer from Canada university help in making Immigration Process faster.?

I am eligible for Canadian Immigration and my documents are almost ready for submission and I am also admitted in a university in Canada. Shall I apply for immigration or study permit?

As study visa has nothing to do with a residence visa.

You have to leave after a study visa is finished and you are limited in how much and where you can work while on the visa.

A residence visa is without limit. It usually takes about 2 years to process a residence visa, if you are accepted.

You have to pay international University fees, about double, if you are on a study visa or have been in Canada less than a year as a landed resident.