This is the nearest bigger city to the venue. It is famous for its buildings designed by Andrea Palladio, the most important Neoclassical architect in Italy. He is also the mastermind behind a lot of “ville venete”, countryside villas for the noble families of the 16th-17th century
Start by walking along Corso Palladio, the main road in the center. You will then reach Piazza dei Signori, where you can see the Basilica Palladiana, one of the masterpieces from Andrea Palladio. Even though the name reminds of a church, this palace from the second half of the 13th century used to be the ancient town halls. Nowadays there are a few art exhibitions organized at the Basilica, so you should check them out even just to admire the ceiling shaped like an upturned ship's hull from the inside. You can even visit the terrace on top of it. In the same square, you can admire the Loggia del Capitaniato and the old clock tower.
If you continue until the end of Corso Palladio, you will find another masterpiece from Andrea Palladio, the Teatro Olimpico. Dating 1585, this is the oldest covered theater in the world and was inspired by the model of the “ancient” theater, in the wake of the Renaissance rediscovery of Vitruvius' studies. Entry is limited, so you should book a guided tour in advance! Not far away from the theatre you will find the Palazzo Chiericati, also designed by Palladio, which hosts the Civic Museum of Vicenza.
If you have more time, you should visit la Rotonda, the most famous villa from Palladio just outside of the city. The square plan of the villa, which contains a central round room, was rotated 45 degrees with the angles orientated towards the four cardinal points in order to accommodate the beautiful nature which really exposes the villas beauty due to the sunlight and winds.