Well, Draco might be a bit nervous at first. Lucius could start by showing him the basics, like how to hold the reins or the broomstick properly. Then they could move on to more advanced things.
In this fanfiction, there could be a lot of dialogue between them. Lucius might share stories of his own riding experiences to inspire Draco. And Draco could ask a lot of questions, which would help him learn faster. Also, there could be some competition involved, like Lucius challenging Draco to improve his skills quickly.
One aspect that could be explored is Draco's growth as a character. Through these riding lessons, he could become more confident and self - assured. Lucius could also learn more about Draco's strengths and weaknesses. The setting could be the Malfoy estate, with its beautiful grounds for riding. And there could be other characters in the background, like the house - elves watching and secretly rooting for Draco.