every move Lee made will trigger the updating of the searching tree. Tree branch not relevant any more is trimmed, existing branches's Bayesian values are updated, and the tree grows wide and deep. I assume the tree is also growing wide and deep when Lee is thinking about the next move. If Lee's move keeps stay in a main branch of the tree then the tree gets deeper and stronger. If not, then the tree gets weaker. If Lee's move is not in any branch, then the tree needs to be rebuilt.
That was why I said AlphaGo is playing with/against itself. And Lee also felt that he played against himself.