Following the death of Pope Francis I, the Vatican will observe nine days of mourning. After that, the election process for a new pope will begin with a meeting of the Cardinals called a Conclave.
Who will be the new Pope? No one knows, but you can visit the College of Cardinals Report website (not affiliated with the Vatican) for a listing of leading candidates (scroll down to see candidates). This site also has much background info on all cardinals with useful search filters such as age, nation, continent, voting status, and more.