This is correct. We've not been barricaded into our houses, we are free to come and go - we're just obliged to complete a form if we're travelling longer distances. As long as you have a proper reason for this (working, medical care, going back to your home area, shopping for things that aren't available in your local Comune) there's no problem. We have to travel out of our Comune for food shopping as we only have a small family-run grocery shop in the village, with limited stock.
In areas like the one we live in (semi-rural, small towns and villages) I haven't seen any checkpoints - they seem to be confined to major roads and places like railway stations and airports. The only difference today was that people had to wait to enter the bigger supermarkets, to avoid over-crowding.
This helpful article explains in more detail what you can and can't do in Italy at the moment.
https://www.thelocal.it/20200310/ar...espid=gvZ9qvMCX1WNJXy0IDToXskP8C34ipoGEViyaC4