I'm not sure if it's exactly the same as the FAA version, but I think what you're looking for can be accessed from this site:
Transport Canada: General Aviation Online Services
If you don't already have an epass account, it will take some time to get registered as they have to snail mail you the activation code. But, once in, you can access your file (licences/permits, medical information, written tests, etc.) Hope that helps...