In labor pains? Creation was not complete in a week? I'm making a connection between this verse and Psalm 104:30, "When you send forth your spirit, they are created; and you renew the face of the ground."
A difference--in Psalm, the Spirit creates, but there's no mention of pain.
So, I'm back to the word "groaning." I looked up the word in my Aland dictionary and my Thayer's lexicon and learned that it implies not only groaning but groaning together.
All of creation is groaning. And, according to Paul, even we who have received fruits of the Spirit are also groaning. Groaning while we wait for adoption.
As I read this, I don't think Paul is talking about some life after death, but is talking about a life here on this earth, a life in which the Spirit lives in and through and around us--and we are aware of that presence.
More groaning--in verse 26, the Spirit intercedes with sighs too deep for words. Allen & Williamson in Preaching the Letters expand on this verse by saying:
The Spirit helps our praying. That the Spirit (roughly interchangeable with God or Christ in Paul) "groans" indicates that God is affected by us as we are affected (and effected--created) by God. God's passions can become our prayers, and our prayers can become God's passions.