Well, one possible plot could be that Naruto, as the second son of god, has some sort of hidden powers. Maybe he starts to discover these powers gradually as he faces various challenges in the ninja world. For example, he could have the ability to control certain natural elements in a much more powerful way than normal ninja techniques.
Another possibility is that Naruto's 'god' parent is an actual deity from Japanese mythology. Since the Naruto world is inspired by Japanese culture, it would make sense for a kami (god) from their mythology to be Naruto's parent. For example, Amaterasu, the sun goddess. Her power could be passed down to Naruto, giving him abilities related to fire and light.
I'm not sure specifically as there could be many different takes on it. It might be about Naruto having a divine or semi - divine heritage as the son of a minor god, which could lead to all sorts of new adventures, powers, and interactions with the Naruto universe's existing elements.
It could be about Naruto having god - like powers inherited from his 'divine' parentage. Maybe he uses these powers to quickly end the shinobi wars and bring about a new era of peace in the ninja world.
Apollo could be a likely candidate. Apollo is the god of music, prophecy, and healing. Naruto's strong sense of justice and his ability to inspire others could be seen as traits inherited from Apollo. Also, Naruto has a certain charm that could be related to Apollo's association with the arts. And if Naruto had some healing abilities from Apollo on top of his own ninja skills, it would make him even more of a valuable asset in battles.
His self - confidence might be much greater from the start. Knowing he has a divine origin, he would be less likely to be put down by others' negative remarks. For example, when villagers used to look down on him, he would now have an inner strength that comes from his godly heritage.
In most official Naruto lore, Naruto is not related to the Second Hokage. However, in fanfiction, anything can be possible. Some fanfic authors might create a story where Naruto is the Second Hokage's son for the sake of creating a unique plot twist or exploring different character relationships.
Obviously Naruto would be one of the main characters since it's about him being the son of a minor god. There might also be the other regular characters from the Naruto series like Sasuke, Sakura, Kakashi etc. who would interact with Naruto in this new context.
The Akatsuki could still be the main antagonists. Even though Naruto is the'son of god', they might see his power as a threat to their own goals. For example, Pain might believe that Naruto's new - found status will disrupt the cycle of pain and suffering that he wants to maintain in the world.
Well, of course, the second son is a main character. His personality could be a mix of determination and a bit of envy towards his more famous sibling. Then there might be his friends or comrades who support him in his journey, like a fellow ninja trainee who believes in his potential.