The Holy Spirit was not sent to bring glory to himself. Jesus said to eleven of his disciples, “He will bring glory to me by taking from what is mine and making it known to you” (John 16:14).
One of the roles of the Holy Spirit, then, is to draw attention to, and illuminate the teachings of, Jesus. When Jesus spoke those words to his disciples, he had taught them many things (“what is mine”) that they did not understand. After Jesus’ resurrection, the Holy Spirit would take those teachings of Jesus and then convey them (“making it known”) to the disciples.
It would be good for us to pray often that the Holy Spirit would open our mind and eyes to know and see more and more of the truth of Jesus in the Scriptures. Such knowing and seeing brings “glory” to Jesus–and isn’t that what we want to happen anyway?