The comment I heard on an interview with an expert (Dr. Isaac Bogoch) was that on current trend, most parts of the country will probably vaccinate all who want (first and second doses) by roughly end-July, maybe slipping a week or two. I believe the phrasing was that right now it's not a supply issue, just physically how to get shots in arms across the whole country. (This was on peter mansbridge podcast). There are caveats of course.
But related comments / articles I've read about Ontario / Toronto specifically are just that right now it's logistics and scaling up, and the scheduling is the weakest part of this right now. Ontario keeps adding people to eligibility for second shot, meaning way more people trying to schedule (Ontario added 2-3 million to 2nd shot eligibility in last several days). More slots will be opened as they organise it - logistics and delivery-wise.
There are mass vaccination clinics being held in the coming days - scotia arena for example - where they'll probably partly throw out the schedules, at least in the sense of taking people who are there when they have doses available. (Some acquaintances in Toronto got second dose this way - they stopped in at their vaccination site while walking by and asked and were let in, probably just because end of day).
Numbers also are now that about 80% a day of shots are second dose (which is also getting close to 1% of pop per day, ~0.85%). So do the simple math and in the five weeks to end-August - with no acceleration - 50-55% should have got the second shot. Some increased pace is likely based on supplies expected to be delivered, so this is more likely undershooting.
That said: this is not going to be perfect either. There will be places and pockets that have issues.
But hopefully your chances are good on current trends and if end-august is your cirtical date, your chances should be very good.
https://trevortombe.github.io/covidgraphs/
