This is worth getting the "super" tickets that allow you to see the special sites on the hill, such as the Palatine museum, the house of Augustus and Flavia, Romulus' cabin, etc. Without such tickets you can still stroll around the ruins, but you will miss the special places and archeological treasures that were found at this location, dating back to the very foundation of Rome.
We recommend dedicating a whole morning or afternoon specifically to the Palatine. Do not combine it with a visit to the Colosseum or the Roman Forum on the same day, for you will probably see evryting superficially and get tired in the process.