Nope, when you are on batteries only the 12V system is working unless you have an inverter. Most RVs the inverter will power the residential fridge and the entertainment systems, some also power the microwave. Each varies depending on model of inverter, model of RV, model of fridge, etc. Your lights should still be working as they are 12V. Definitely not the AC.
Here is a good read on what to expect and how to plan accordingly - the "12 volt side of life." Lots of good info about how to budget your power requirements and plan your battery and solar systems accordingly.
The 12 Volt Side of Life