The system is also going to place you with an experience provider...
Unfortunately this isn't always true. Our probationary periods used to be a lot longer. 3-6 months now they're 5-8 weeks plus a couple of weeks of classroom and orientation stuff.
It's not unusual to see a brand new EMT and a brand new Paramedic on an ambulance occasionally here. I've seen units that I didn't know either of the crew members on a couple different occasions.
We have one set crew that's a pair of brand new medics that were in class together except one failed his FTO so he can only practice as an Intermediate. That's a little bit better of a combination.
I don't really have much more to add to what's already been said because it's all great advice.
I will add to the comment about mistakes. Yes you will make them and that's perfectly fine. What matters is how you learn from them and develop as a provider. If you go to AEMT and you can't hit IVs for example don't just keep doing it the same way, ask for help from your preceptor or partner. Practice if you have willing partners in your downtime. You can do this with any skill. Some are more difficult because they take a bit to clean up and if you run 911 you have chute times to meet.
When I was new I'd show up an hour before my shift and help the VSTs restock rigs that we're coming in or refill speed load bins just to learn where everything was. You really don't have to do it too many times to learn it either and it helps you get to know employees. This is assuming A) you have a VST department and B) they will let you help them.
Don't nap in your downtime study your protocols. Do mini after action reviews of all the calls you go on with your partner. What you did great on what you did wrong and what was good but could use some tweaking.
Be proactive, like everyone else said listen more than you talk and most of all have fun! This is a cool job. There's no way around that. Just remember, there's a time to fool around and a time to be professional. We're roll models to kids, we show up and are let into complete strangers' homes on the worst day of their life and they give you their ultimate trust but you still need to carry yourself in a way that deserves it.