This quest is unmarked, which means while it is tracked as a quest internally by the game, it does not show up in the main quest journals nor can you view completed objectives.
So the behavior you've observed -- no quest text or objectives -- is the correct, default behavior.
Quoting from the UESP:
The actual name of the quest is not visible in game (the names used on this site are the names assigned to the quest in the Creation Kit). Only the current objective associated with the quest can be seen — completed objectives are not displayed, nor is any additional information about the quest stage.