One possible storyline could be Naruto discovers he has Conqueror's Haki during a battle with a powerful enemy. This new power gives him an edge and he uses it to inspire his allies and intimidate his foes. For example, when facing the Akatsuki, his Haki could make some of the weaker members hesitate in their attacks.
Naruto would become more confident. With Conqueror's Haki, he would know he has an extremely powerful ability. This would boost his self - assurance in battles and in his leadership role. For instance, when leading his team, he would be more assertive.
I don't have enough context to determine exactly who 'garp' is. It could be a newly created character by the fanfic writer, or it might be a character from a relatively unknown story that is being incorporated into the 'ace fanfic'.
An OC's Haki can be developed through intense training. Just like how Luffy and the others train in the One Piece world. They could face difficult opponents and learn from each battle, gradually strengthening their Haki. For example, if they constantly fight against Logia - type devil fruit users, their Armament Haki would improve to counter their intangible forms.
In this fanfiction, Naruto's development with Haki could be quite interesting. Firstly, Haki could enhance his sensory abilities even more than his regular chakra - based perception. This would allow him to detect threats from afar and better protect his village. His physical attacks could also become more powerful. He might start to train with different characters who are more familiar with Haki, like if there are any characters from other universes introduced. This could lead to him learning new values and cultures, expanding his world view, which in turn would shape his character in a more complex and mature way.
Maybe an ancient sage in Naruto's own world who has long - been in seclusion. This sage has knowledge of different power systems beyond just chakra. He notices Naruto's pure heart and strong will and decides to pass on his knowledge of haki to Naruto, believing that Naruto can use it for the greater good of the ninja world.