The region surrounding Pisa has pastoral countryside and richly layered history. A short drive from Pisa will bring you to Certosa di Pisa, a Carthusian monastery. Although founded in 1366, the monastery was finished only in the 18th century. It is a fine example of Baroque style adorned by frescoes and marble. 

Don't miss the ancient town of San Miniato. It is set on three hills and offers beautiful views of the surrounding lush countryside. The oldest building in the town dates back to the 8th century. The most important structure here is the Rocca, a castle built the 12th century for Frederick II. Close by  is the Romanesque Duomo with its distinctive redbrick facade. Next door, the Museo Diocesano exhibits works by Verrocchio and Lippi.  

Another worthwhile short trip out of Pisa is to the Basilica of San Piero at Grado where, tradition has it, St Peter first landed in Italy.  The present church dates from the 10th century, and you can see the remains of two earlier churches in the nave.  There are 13th and 14th century murals above the arches depicting scenes from the Saint's life, and there is a frieze with the portraits of all the popes from St Peter to John XVIII (1004-09).  You can take the bus from rank 2 of the bus station adjacent to Pisa's main railway station (tickets from the CPT offices nearby).  The fare for the 12 min journey is 95c, and you can continue to Marina di Pisa and Livorno on the same route.  Don't forget to validate the ticket on the bus, and ask the driver to tell you when the bus reaches 'San Piero'.