Seeker, no, believers don't go to Heaven immediately and neither to unbelievers go to Hell or purgatory.

If you remember the theif that hung with Jesus and repented, to him Jesus said "you will be in Paradise with me this day."

No one goes to Hell or Heaven until the Judgement Day.

BTW, "The Rapture" is NOT in the Bible. That name for the second coming of Christ is rather new.