Hey Seth! Pleasure to meet you!

Although I'm not Canadian myself, and I'm sorry if I have no place here giving you advice, but I think that no matter where you are, the fundamentals of "the process" are pretty similar...
I'm not sure how the medical system works in Canada, but in the UK most people's healthcare is covered by the NHS, and that includes things like medical bills as well as any counseling or therapy required by the patient.
Basically, the first step will probably be speaking to your family doctor and explaining the situation. Depending on whether or not they've encountered trans patients before, they may ask how to proceed; over here, the process involves the doctor writing to a general psychiatrist-type person who will have a longer consultation with you, getting things like medical and family history as well as more specifics about your gender history. They'll normally ask a bunch of other routine questions to get a picture of your mental health, to kind of make sure that there are no other conditions that could be influencing your feelings (schizophrenia, etc.) A report usually gets written and forwarded to the nearest gender clinic, which for me was London Charing Cross, and they'll then arrange an initial consultation with you. This part of the process could take anywhere from 3 months to a year, if not longer!
The gender clinic consultation is pretty much like the previous appointments; by this point, you should be so used to reeling off your life story that it shouldn't be too difficult

Again, not sure how it works in Canada, but depending on the standards of care that your clinic follows, they may require 3 months of gender-specialist counseling or a period of "real life experience" before they start talking to you about T. They'll probably want to see you about periodically from this point on, to discuss progress and getting a T script when applicable.
This is kind of an abridged explanation, and again, I do apologise if I'm sticking my nose where it don't belong, seeing as I don't have much of an idea as to how things work in Canada

I've heard stories from guys describing a similar process from all over the world, but on the other hand (as Jeh mentioned) I've also heard of people able to get on T without ever seeing a psychiatrist. I guess it just depends on your doctor?
Best of luck with everything, dude