Yes, he is the 16th pope with the named BenedictI
Quick Answer: Before Pope Benedict XVI was Pope, Pope John Paul II was Pope before him. Here's a helpful and clear list of all the Popes (and when they were Pope) from Peter to Benedict XVI (in total...
The Holy Spirit acting through the College of Cardinals.
He was elected and installed as pope in April of 2005.
As of 2010 yes he is.