CONDEMNATION tends to make us want to be far away from God. Those who have not given Jesus their trust are in this category.
John 3:18 "Whoever believes in him is not condemned, but whoever does not believe stands condemned already because they have not believed in the name of God’s one and only Son."
But God longs to bring all men to the place where they have a knowledge of the truth--His truth and what Jesus has done by taking our punishment for sin upon Himself, dying in our place, and rising from the dead three days later.
CONVICTION tends to draws us closer to God--It is the process that the Holy Spirit uses to show us our sin so that we can confess it to God and be walking more closely with Him as a result.
And there is no condemnation for those who are in Christ Jesus (Romans 8:1)