http://www.pokemon-sunmoon.com/en-au/pokemon-bank/"A new National Pokédex feature is coming to help you check out the particulars of the Pokémon you’ve deposited!
When Pokémon Bank is updated to support Pokémon Sun and Pokémon Moon, it will also gain a new Pokédex feature.
The application will read your saved data from any games* you connect with it, collecting information about Pokémon you’ve caught, so you can check it.
Using the Pokédex feature in Pokémon Bank, you’ll be able to see this information—even about Pokémon that don’t appear in the Alola region of Pokémon Sun and Pokémon Moon.
*The games that can connect with this Pokédex function are Pokémon Sun, Pokémon Moon, Pokémon Omega Ruby, Pokémon Alpha Sapphire, Pokémon X, and Pokémon Y."