Peter Brandon emphasizes the significance of Christ's finished work on the cross, highlighting three key aspects: the finished work, the fragrance of that work, and the fruit it bears. He explains how Jesus' death tore the veil of the temple, symbolizing the removal of barriers between God and humanity, and how it opened the way for both Jews and Gentiles to enter into a relationship with God. The sermon also reflects on the supernatural elements of Christ's death, the power of the Gospel, and the hope of resurrection for believers, encouraging the congregation to live in constant awareness of God's presence and to be prepared for Christ's return.