When someone becomes connected to Jesus, and that connection is strengthened, God is glorified, he is honored and magnified as he should be, being God.
God is glorified, and lives are changed forever. When an unbeliever is connected to Jesus, his or her life is changed eternally: A new eternal destination that is heaven. And when a believer is further connected to Jesus, Jesus is changing him or her, sanctifying that person so they are becoming freer and freer from sin, and more and more like Jesus in their actual lives. For the genuine follower of Jesus that change will last into eternity.