This lot is interesting. There are a few signs. There are dedicated spots for paid public parking 24/7, so I don't think the access should be private.

There are some spots for Eastern Bank Customers only, but those spots became available for the following hours:

Paid:
Mon-Thurs 5pm-2am
Fri 6pm-2am
Sat-Sun 1pm-2am

Free 
Church Parking: Sun 7am-1pm

There are also multiple spots reserved for "The Bow Hotel" and a permit is required.