Benedict is now retired and has nothing to do with the Basilica.
If you mean, St. Peter's Basilica, it is not a Cathedral, then the pope in summer 2012 is Pope Benedict XVI. His Cathedral is St. John Lateran.
The church of the Pope as bishop of Rome is the Basilica of Saint John Lateran in Rome. The church of the Pope as Pope is Saint Peter's Basilica in the Vatican.
Pope Benedict I is not a saint and has no feast day.
In 2014 the current pope is Pope Francis.
In Vatican City, St. Peter's Basilica.
Saint Benedict of Nursia, the father of western monasticism, is his patron saint.
Benedict was canonized in the year 1220 by Pope Honorius III. --
St. Peter's Basilica used for Mass like any Catholic church. Of course it is most well-known for for the papal liturgies which take place there. It should be noted however, that St. Peters is NOT a cathedral.
Yes, he is the leader of the Catholic Church. As bishop of Rome his church is the Basilica of Saint John Lateran. As Pope, his church is Saint Peter's Basilica.
Pope St. Benedict II is not a patron saint.
Benedict XV is buried in a tomb in the crypt under St. Peter's Basilica in the Vatican.
The Basilica of Saint Peter is a monument to the first pope - Saint Peter - who is buried under the basilica. It is used for special occasions - the canonization of saints, the funerals of popes, Christmas Midnight Mass, etc. It is not the church of the Pope. The Church of the Pope as the bishop of Rome is the Basilica of Sant John Lateran in Rome.