I have used the word Instantiate a few times before. What does it mean? Instantiating simply means creating a copy of the object. Yet again, I encourage you to go back to the Scripting Reference and read about Instantiate.
Line 36 is where we are using Instantiate:
LevelPiece piece = (LevelPiece)Instantiate(levelPrefabs[randomIndex]);
In this line, we are creating a copy of one of the levelPrefabs elements stored under the randomIndex value. We assign the instantiated object straight away to the local piece variable. So basically, this is the line that creates an exact copy of the prefab and places it in the scene.
When instantiating a game object, we are creating a copy of the object. Unity, however, doesn't copy its parent assignment, so the instantiated object will be created on top of the hierarchy. To correct this, we set the parent to the piece object...