This is an image of the Sistine Chapel where the Cardinals will gather to vote and pray to decide who God wants to be the Successor of Peter.
Much is made about exactly how a new pope is named. This link below from Vatican Insider gives a great interactive look into the process. Our main duty on this end is to pray for each Cardinal elector to hear the Holy Spirit speaking to their heart that they may choose who God desires to lead our Church. What a beautiful gift to have the God of the universe leading the Church Jesus Himself established. Come Holy Spirit! Here is the link to the interactive look into electing our new Pope.