How may I, an ill-deserving sinner, draw near to God in whom there is no sin, and look upon His face in peace?
As a sinner, drawing near to God who is perfectly holy and without sin may seem impossible. And it is, if we trust in our own righteousness. In our own (de)merit, we can no more approach God than we can approach the sun without being burned. However, the Scriptures teach that through faith in Jesus Christ, sinners can be made right with God and have access to Him. This faith is a gift from God, and it is through this faith that sinners are justified and reconciled to God.
Justification is the act of God declaring sinners to be righteous because of the Person and work of Jesus Christ. This means that even though sinners are still sinners, they are considered righteous in God's sight because of Christ's perfect obedience and sacrificial death on their behalf. This is why Christians often say that they are saved by grace through faith.
Reconciliation is the act of God restoring the broken relationship between sinners and Himself. Through Christ's death and resurrection, sinners are reconciled to God and given access to Him. The rebel is made a son and given a seat at his table. This means that sinners can draw near to God in prayer and worship, knowing that they have been forgiven and fully accepted by Him.
So, to draw near to God and look upon His face in peace, one must have faith in Jesus Christ as their Savior from the guilt and power of sin. This faith is a gift from God, and it is through this faith that sinners are justified and reconciled to God. It is by Christ that sinners can approach God with confidence, knowing that they are forgiven and accepted.