This page explains how to start and complete the The Apple of My Eye side quest.
How to Start the Quest
Talk to Juney in Rito Village to start the quest. She can be found between the Rito Elder's house and Teba's house, near the top of the village. She asks for a baked apple.
How to Complete the Quest
To make a baked apple, put an apple near a fire until it turns into a baked apple. Give Juney a baked apple and she will give you a silver rupee. From then on, you can sell her more baked apples.