I will be going to Greece in June. I have to take two sets. Do I need an Adapter or Converter? I also will be using a hair dryer.
I'd get new dual voltage appliances. The size and weight of a voltage converter with sufficient power rating (wattage) to work would be cumbersome. You will need a plug adapter.
https://community.ricksteves.com/travel-forum/general-europe/will-my-hair-dryer-work-in-europe
Current discussion on the issue, that is as applicable in Greece as in other parts of Europe.
Use the hotel dryer. ( Or buy one there). Getting a US dryer to work is not practical.
What does the label on the curlers indicate as to wattage and voltage?
Have you considered trying the thermal rollers that are popular?
https://www.mykitsch.com
Would save space in your suitcase.
Otherwise, like someone else suggested, buy dual voltage rollers. Definitely would be difficult with adapters.