The Cardinals vote, and the vote count is announced after each ballot. Early on there are a few papabili that are considered as possible, and the Cardinals lobby amongst themselves to get other Cardinals to back one candidate or another.
They also speak to the College of Cardinals in session, to promote one candidate or another.
As the voting goes on, the lesser candidates get fewer and fewer votes as they are seen as not viable. Eventually, there is a majority for one candidate and a a new Pope is selected.
There are a few Cardinal in the running (I don’t know most of them by name). There is on e from Central Africa that is considered as a front runner, another from Northern Italy (I think Turin) who has a lot of support. The Cardinal from Boston, and Irish Capuchin known as Padre Sean from when he ran a center for immigrants was mentioned in the US press today.