Well, Naruto would probably become extremely powerful. The First Hokage had some unique abilities like his Wood Style. Naruto could learn a whole new set of skills and jutsus. He might also gain a different perspective on leadership and the history of the Hidden Leaf. It could change the way he approaches battles and his relationships with other villages too.
In a fanfiction where Naruto is trained by the 3rd Hokage, one possible plot could be that Naruto would gain a more traditional and structured form of training. The 3rd Hokage, being a highly experienced and wise ninja, might focus on Naruto's chakra control from the start. This could lead to Naruto mastering basic jutsus more quickly. He might also be taught more about the history and values of the Hidden Leaf village at an earlier stage, which could shape his understanding of being a ninja differently compared to his original self - taught journey.
One challenge could be mastering difficult jutsus. The Third Hokage might set high standards for Naruto to learn complex techniques, which would be a struggle for him.
She would likely be trained by some of the village's top ninja. Her father might get Kakashi or Gai to train her in combat skills. They would teach her how to use different ninja weapons and jutsu effectively.
The Third Hokage's training might have introduced Naruto to more advanced jutsus. For example, he could have taught Naruto better control over his chakra, which is crucial for performing ninjutsu. This would allow Naruto to use his Rasengan more effectively and with less strain.
Naruto's sense of responsibility would grow. The First Hokage was all about building and protecting the village. Under his training, Naruto would understand the true weight of protecting the Hidden Leaf and its people, and this would be reflected in his actions and decisions.
If Naruto was trained by the 3rd Hokage in fanfiction, his character would develop in a more disciplined way. He would likely be more respectful of the ninja traditions and hierarchy in the village. His hot - headedness might be toned down as the 3rd Hokage would instill in him the importance of patience and strategy. Naruto would also become more confident in his abilities, not just because of his new skills, but also because of the support and guidance of the respected Hokage.
Perhaps a perk is the ability to shape the future of the ninja world. As Hokage, one can inspire the younger generation of ninjas. They can create new ninja academies or training programs. They also have the power to pardon or punish ninjas according to their deeds, which helps in maintaining law and order in the village.
It could be the First Hokage, Hashirama. Naruto would be amazed by his powerful Wood - Style jutsu and his ability to create the village. He could learn about the original ideals behind the Hidden Leaf from Hashirama.
Well, it depends on the specific fanfiction. Some fanfictions might explore alternate storylines where Naruto doesn't become the Hokage at all. Maybe he decides to pursue a different path in life, like focusing on being a teacher or an explorer. However, in a large number of fanfictions, he does achieve his goal of becoming the Hokage because it's such an iconic and desired outcome for fans who want to see his journey to the top in different ways.