Does 'coming to Jesus' mean my problems will disappear?

Does 'coming to Jesus' mean my problems will dissapear? We know this famous hymn that goes like this... "When peace like a river attendeth my way, when sorrows like sea billows roll; whatever my lot, thou hast taught me to say, "It is well, it is well with my soul." What do these opening lines mean? What are we to expect from the Lord when we face suffering in our lives? Sonny Simak tries to…