First of all, it depends on the fact if you have a spiritual father or not. It has a big influence on the length of the confession and how the talk is conducted, because if the priest knows you, he also knows your problems with particular things, so he may ask about it and hew can notice a progress or a regress.
In my case, after making a bow and kissing the Gospel and the cross, the priest firstly says “Glory be to Jesus Christ” or “With the feast” or another greeting (I know that’s rather Polish thing) and covers by head by epitrachelion (all the time I stand; in Poland we rather not kneel even for absolution). I response and start saying my sins. Sometimes he stops me to ask more about the particular sin. After it I say that’s all I remember in this moment, so the priest starts talking about one or a few of my sins, we think together about the roots of them, how to solve the problems etc. During confession the priest gives me also the rules of prayer, fasting, reading of the Bible, psalms and so on. He asks how the particular services have affected on my life. He gives me also other advices (how to solve the problems not so strictly connected with the sins or Church life). After the talk he asks me if I had forgotten about something. If I had, I say it. If not, he asks me if I regret my sins and then he gives the absolution, takes the epitrachelion, I kiss again the Gospel and the cross, and then he gives the blessing for participating in the Eucharist. Because my confessor is also my spiritual father, sometimes he asks me how I am or I ask him about something. I’ve never been given any penance – only some rules and advice what spiritual book or article that describes my problem I should read.
As Asteriktos wrote, it varies a bit from jurisdiction to jurisdiction; what I’ve noticed, in Orthodox confession there are less formulas than in Catholic Church. It’s there is also a difference when it’s done: during All-Night Vigil/Vespers/Matins (preferable, as generally priests have more time then and it’s easier to be focused on the confession) or Liturgy (priests have less time and it’s difficult to focus on the Liturgy).