In the midst of being stoned, Christ appeals to the mind. Christ has just proclaimed that He and the Father are One. He is declaring His deity to the Jews. In return, the Jews believe Him to be a blasphemer.
The formerly blind beggar is now being questioned by the Pharisees. The Pharisees begin to see Jesus as a criminal and not the Messiah. We see from this passage that Jesus has the authority to heal on the Sabbath, because he is the Son of God. The beggar helps us understand the nature of Christ more through his words to the Pharisees. Jesus is more than just a prophet, but he is never less.
Do you want to be free indeed? The Jews have just heard Jesus explain who he is and what he has come to do. In this section, we see that the Jews have believed in him; however, this belief was a nominal belief. The Jews did not have genuine saving faith. Jesus teaches the Jews about the truth and obedience in this section, but more importantly he shows them that if they wish to be free from the bondage of sin then they must trust in the Son who can set them free.
Questions of adultery, hypocrisy, and conspiracy all meet the Lord Jesus Christ outside temple walls. In John 8 the Pharisees are trying to trap Jesus by bringing a woman who has been caught in the act of adultery before Him. The Pharisees give him two options: either he can stone the woman or let her go free. Jesus, in all of wisdom, brings the weight of the Law to reign down on the Pharisees. Then we see a beautiful glimpse of His mercy towards the adulterous woman.