Lockdown in Italy is a concept that is difficult to enforce. And it's probably very different to what it means in China or even just South Korea or any other more organised and centrally governed country in Europe like France.
But in essence:
Schools are closed until next month.
People can still move around freely for work reasons, and in general people still work in offices.
Bars and restaurants close after 18pm.
Shops are closed only on weekends.
People over 65 have free deliveries from most supermarkets, but very few use them.
Big groups of people are not allowed outside public places.
The social structure in Italy is still very much based on families, so people will remain with their close relatives and go out for a walk around home.