We see David seeking the face of God in Psalm 32.
For a while he 'roars' but the roaring is internal. At length he purposes to confess his sins unto God. Prior to that, there was a roaring within him, a crying out in frustration, in want, in spiritual penury, in the loneliness that results from being far from God.
When I kept silence, my bones waxed old through my roaring all the day long. [Psalm 32:3 KJV]
But as soon as he purposes to make confession, even before the words leave his mouth, he knows that God has heard him. He is aware of a lifted burden (nasanasa). His sins are uplifted'uplifted' from him. This is something that is felt, it is not theoretical. His crying, roaring need is being met from heaven, in real experience.
I said, I will confess my transgressions unto the LORD; and thou forgavest the iniquity of my sin. Selah. [Psalm 32:5 KJV].
This is the difference between formal prayers and heartfelt seeking of the face of God : the seeking of God for his own sake - to really know him, to see his face . . .
. . . . to see his face.
To know that one is right with God. To have an awareness that God is pleased with oneself, not rewarding dead, religious, ritualistic works, but God is pleased with one's attitude to him, with one's seeking him to have a real relationship with him, within one's own spirit.
Then, and only then, is another voice seen in the narrative of Psalm 32.
'Be not as the horse or mule which must be held in with bit and with bridle.'
Another voice speaks. 'I will teach thee in the way that thou shalt go.' David, nonow forgiven, now with the face of God shining upon him, will be guided by an Holy Spirit who will teach him and show him another way.
I will instruct thee and teach thee in the way which thou shalt go: I will guide thee with mine eye. [Psalm 32:8 KJV].
This is to 'humble oneself' and to (genuinely) 'pray' to God and to 'seek his face'.
It is a real relationship. It is the spiritual knowledge of God, who is Spirit. It is to meet with him - face to face.
And this is not peculiar to David, not especially for the King only : it is for all who would seek the Lord :
For this shall every one that is godly pray unto thee in a time when thou mayest be found: surely in the floods of great waters they shall not come nigh unto him. [Psalm 32:6 KJV].