In Lombardy, the only region where the situation is critical at the moment, emergency service have NOT shut down. Non urgent procedures are suspended, both to spare doctors and nurses and to avoid creating new emergencies in case those procedures go wrong. ERs are not overwhelmed, ICUs are.
You basically get in real trouble if you need a respirator - they're pretty much out of those and they have to assess your chance of survival to decide if they can tube you.
Interestingly ERs are seeing much less load because people have stopped going there for stupid reasons, because they are afraid of catching COVID-19. All medical stuff is still busting their ass if course, a lot of them have been lended to ICUs, rooms have been repurposed, etc.
This is not to say that the situation isn't bad. It's really bad. And if you think that your country has such a good health care system that it will hold better, you should know that Lombardy hospitals are top notch.
Whatever your age, stop traveling. If there's been a single case in your region, stop risky behaviors now: don't go shopping, have it delivered. Work from home. Don't use public transit. Teach your parents how to shop online and force them to stay home. Don't shake hands and wash them often.