No. this verse doesn't speak of forgiveness without judgement and punishment for evil deeds. It says that.. whoever believes in him shall not perish but have eternal life.
Of course, the return of good is good, and evil is evil. But, I think here you need to understand the outcome of both good and evil deeds. Outcome of evil deeds is like a prison made of steel, and outcome of good deeds is like a prison made of gold. But, in both the cases prison is prison (Worldly- Attachments). Prison can NEVER be an eternal life.
What is prison ? Prison is "World" (Including both happiness and sufferings) Eternal life is.. merge back in God/Heaven.
Hence, this verse does NOT provide solution to sufferings of this world. Rather just provide solution to perish/prison. And that solution is eternal life.
Punishment for evil still stand where it is.