Look up !
Like most Italian cities, when the shops are shut they are very much shut, with no clues to what lies behind the shutters.
Central Lucca is full of historic buildings, so look around you, and particularly at the upper floors, and you will find some splendid architecture.

BRICK AND MARBLE CAMPANILE OF LUCCA CATHEDRAL
Medieval houses at the Piazza Anfiteatro
Duomo San Martino from under the chesnut trees
View of church in square