Before arriving in Monterroso, we checked the Cinque Terre website and didn't see any news or announcements pertaining to trail closures. We booked 4 nights with the intention of hiking every day. As of today, 11/14/18 ALL hiking trails are closed. Also, I do not recommend staying in Monterroso right now. The pedestrian trail to the city center is closed. To get there requires a 7km hike up and around the mountain road. We tried to find a restaurant at 6:30 pm on a Tuesday and we could not find a place open to even get a snack.
I've since learned that to see which trails are open, you must go to the Cinque Terre website and click on "trails". Open the map to see which ones are closed (indicated by a black line).
This is a very sad way to spend our "hiking" trip. Although we will make the best of it, I warn others that the ENTIRE PARK IS NOT OPEN!!