This is real.

Romans 5:1-5

Therefore, since we have been justified by faith, we have peace with God through our Lord Jesus Christ. Through him we have also obtained access by faith into this grace in which we stand, and we rejoice in hope of the glory of God. More than that, we rejoice in our sufferings, knowing that suffering produces endurance, and endurance produces character, and character produces hope, and hope does not put us to shame, because God’s love has been poured into our hearts through the Holy Spirit who has been given to us.

Therefore, since we have been justified by faith, we have peace with God through our Lord Jesus Christ. 

When we were sinners, we were enemies of God. But Jesus fought the war on our behalf through his life, death, and resurrection. God is the Holy King, and we who were once enemies are now on peaceful terms with God because of what Jesus has done. But it is not just like we signed a peace treaty and went back to our homeland. No, our God is greater than that. “Through him we have also obtained access by faith into this grace in which we stand,” WOW! Through Jesus we have also obtained access (some translations say "introduction") to God. (Think Esther here). It is dangerous to approach a King without introduction, like, people have been killed for going before a King without proper introduction. But through Jesus, we have gained access to God, our King. We do not have to fear going before his throne because the one at his right hand is interceding for us! (but that is later in Romans). 

But wait, there is more. Through him we have also obtained access by faith into this grace in which we stand. WHAT? Ok, so lets back up a bit...First we were enemies of God, but Jesus faught the war on our behalf. Then he justified us by faith so that we would have peace with God, and not only peace, but access to God! Ok, so now we can go into the throne room of God and bow before Him and worship his majesty. But Paul says that we have access into this grace in which we stand. When we enter the throne room of God and kneel before HIm, He looks down at us and lifts up our chin and says, “Stand up. You are my child. I sacrificed everything so that you could stand justified before me.”

The first time I heard that, I cried. I had been imagining a God so big and so Holy and now the Bible is telling me that I am standing in His grace? That blows my mind.

 and we rejoice in hope of the glory of God.

We rejoice in the hope of the glory of God. More on that when I understand it fully. 

 More than that, we rejoice in our sufferings,

You are saying that we rejoice in sufferings more than we rejoice in hope? Is Paul crazy? Not at all. Paul realizes that we rejoice in our sufferings because that is what produces endurance, which produces character. The greek word for character here is dokime. A more specific translation would be “proven character” (the same word that is used in James 1). It is describing someone who has been tested and his faith is proven true. You might have heard the gold analogy: When gold is tested in the fire it comes out as more pure gold. But here’s the thing: it comes out of the fire, and everyone knows that it really is gold. It does not just look like gold. It does not just say that it is gold. It is proven to be gold. That is what sufferings produce in Christians. When a Christian suffers and comes out confessing Christ, everyone will know that he truly is a follower of Jesus, and not just in talk.

 That is how character produces hope. If our dokime (proven character) shows that we really are a Christian, then we have confidence (hope) that we will inherit the Kingdom of God.

 knowing that suffering produces endurance, and endurance produces character, and character produces hope, and hope does not put us to shame, because God's love has been poured into our hearts through the Holy Spirit who has been given to us.

This last part I am still not grasping, but I think that it is saying that one of the ways that God pours His love out on us is that He has given us the Holy Spirit.