There are still private insurance companies that will cover things not normally covered by the provincial plans. Drugs would be another good example of something not universally covered (depending on drug). Drugs are, however, price controlled in many cases. My sister has asthma, and has to pay a lot for inhalers; thus, working somewhere with health coverage is still a big concern for her.

Quebec always tends to do things a little differently, but I'm surprised at this because in general they cover more things publicly, not less. I'm betting that the province would only cover "long term" disability.

You should really read up on how the various systems of government medical systems work. In the UK, the government owns the hospitals, so some things are free and somethings require payment (which you can get medical insurance for). In Germany, it's a government-owned insurance company and the hospitals are still privately or publicly owned. In Canada, the health system is not tied to the Federal government as much as each Provence has their own health plan/system. (i.e. Ontario has OHIP, the Ontario Health Insurance Plan). You can get insurance from your employer (or privately) that basically covers whatever the government plan doesn't (including some medications, etc that aren't normally covered).