Buy tickets to watch a game at Stade Pater. If there's nothing scheduled while you're in the area, you might like to check if there's a guided tour of the grounds.
If you've got time to stop for a while in Pirae, Stade Pater is a good place to start your exploring. This sporting facility is one of many attractions that'll keep you on the hop here. Papeete Market, Black Sand Beach, and Papeete Town Hall are also waiting to be explored close by.