Dalai Lama does public visits to where I am on such a frequent (~ twice a year) basis that an audience seems nothing fantastic, or desirable. So - nothing. I'd better read a book
I have never had audience with the Dalai Lama but years ago I met him with a friend.
He was nice, spoke multiple languages and had a great laugh.
I no idea who he was at first, he introduced himself using his name and not his title.