The Holy Spirit is God, distinct from the Father and the Son; yet, equally God.
The Holy Spirit has all the attributes that God the Father has.
Eternal - Hebrews 9:14
Omnipresent - Psalm 139:7
Omniscient - 1 Corinthians 2:10-11
Sovereign - 1 Corinthians 12:11
The Holy Spirit does things that only God can do.
Create the heavens and earth - Genesis 1:2
Gave us the Bible - 2 Peter 1:20-21
Resurrected Jesus - Romans 1:4
Brings the 2nd birth - John 3:3-5