There is plenty to do in Cinque Terre; here are a couple of options!
Head out on this 2.2-mile point-to-point trail near Monterosso al Mare, Liguria. Generally considered a moderately challenging route, it takes an average of 1 h 19 min to complete. This is a very popular area for backpacking, birding, and hiking, so you'll likely encounter other people while exploring.
To buy the ticket online: https://card.parconazionale5terre.it/
Buranco is an organic farm just behind Old Monterosso that makes Cinque Terre white wine, Cinque Terre red wine, limoncino, grappa, Sciacchetrà and olive oil! They also have a few rooms for rent and offer tours and tastings to the public!