Hi, actually an upfront medical test will not accelerate your application, but if you wish to do that, just check the panel physician on CIC and book an appointment by telling the you want to do an upfront medical exam, that's it. Good luck!
Just take your passport and permit along with your provincial health card for inside canada. Your permit will have your UCI but i would also suggest that if younhave received AOR then take that with you too.
Basically ID documents and application number that should be fine.