Well you sure picked a helluva machine to start with - lol - twin spindle, twin turret, and Y axis milling. The good news is, a lot of builders will use the same control on their machines. There will also be a ton of videos out there showing various ways to use that much capability.
The bottom line though will be how imaginative are you when machining your parts. What operations can you combine on one spindle to save time and balance your cycles. I don't know much about your skill level, but based on your remarks, I will presume you have a limited amount of programming and machining knowledge.
So, if you want to become valuable to your company. First, you need to be a good machinist and understand the basics of metal removal. Then you can graduate to how to program simpler machines as in 2 axis lathes or 3 axis mills. Then you will be ready to tackle a machine with these capabilities.