Consider yourself privileged. Many people visit the Vatican but few have seen the pope.
The pope is the ruler of Vatican City (which is a country).
The Pope lives in the Vatican in Vatican City.
The Pope lives in the Vatican. In 2014 that would be Pope Francis.
Pope John XXIII called for Vatican 2.
There is only one pope in the Vatican and that would be Pope Francis as of 2014. Pope Emeritus Benedict XVI also resides in the Vatican but has no role in governing the Church.
Vatican
Pope Paul VI closed Vatican II.
The Pope is a permanent resident until his death, there are many cardinals and bishops who are appointed to live there as well, however, they could be transferred to another church and country, then of course there are theSwiss guards who protect the Vatican.
The gathering is called "Vatican I" (First Vatican Council, 1868) (see the related link)
Popes John XXIII and Paul VI were popes during Vatican II.
There is no elected president in the Vatican. There is a pope who is elected in a secret conclave by the cardinals. The Pope is the head of state of the Vatican.
Pope Saint Telesphorus was the 8th pope.