I'm also relatively new to AA. What I'm doing (not sure if it's the RIGHT way, but it's working for me):
I go to a lot of meetings. I've been to 5 this week.
I listen. I listen to each person talk as though they had a personal message just for me that my life depends on. Even when I cannot even remotely relate, I try to become open and set everything aside in my mind except what they are saying. I go to meetings to get out of my head, so I try to make it count and do exactly that.
I talk to at least one person after the meetings (my weakness). I have attended a social event of one meeting. I say yes as a default. If I'm called on, I share. I don't try to think about what I will share, I open my mouth and tell the truth for a few minutes. I don't have a sponsor yet but I am working on that.
Mostly, I just show up and listen and am open. I'm not trying to force anything else. It is helping. I am starting to feel apart of something big enough and strong enough to help me save my life.