The Holy Spirit in John's Gospel

Some of the main teaching about the third Person of the Trinity in John's Gospel:

7:37-52:
-The Spirit is given to all those who believe in Christ.
-The Spirit is given abundantly.
-The Spirit is given as a result of Christ’s glorification.

14:16-17:
-The Spirit is a gift from the Father.
-The Spirit is a “helper”.
-The Spirit is a permanent resident (inside us).
-The Spirit will teach us the truth.

16:4-15:
-The Spirit convicts the world.
-The Spirit serves the church.
...by guiding us to the truth.
...by glorifying Jesus (for more on this role of the Spirit see this post).