I would be empathetic. I know that every story has its own joys and sorrows, and I would try to understand your feelings.
First of all, I would give you my full attention. I would listen without interrupting, and when you finish, I would show my appreciation for your trust in sharing. I might ask some follow - up questions to clarify certain points. If it's a story of struggle, I would offer words of encouragement. If it's a story of achievement, I would celebrate with you. Because a story is not just a series of events, but a window into a person's soul.
I would probably be very attentive. I would focus on the details, the emotions, and the message you are trying to convey. And then I might share some of my own thoughts or experiences if relevant to show that I can relate.