This is interesting to read what others do.
Mine sticks his head out into the waiting room and says, "Come on in." Once we're seated he'll ask how I am, and this question used to take me a looooong time to respond to because I didn't know what the answer was supposed to be. Then he usually will go right into rate your anxiety and/or depression this week on a scale of 1 to 10. Then he goes over his notes from the week before and asks me various questions about my thoughts on the last session. Then he'll usually ask what I would like to focus on that session.
When time is up he'll usually have things to a good end spot and he'll just say, "We have to wrap up now." The past few times though he's pointed out that we're in overtime, which has always been his fault, not mine. It's not like I talk a lot. Then he takes out his appointment book and makes sure I'll be there the same time next week.