Their relationship could develop in a very interesting way. Given Naruto's background of being an outcast in his village at first, he might be a bit hesitant to fully embrace Goku as a brother. But Goku's open - heartedness would gradually break down those barriers. Goku would introduce Naruto to his friends in the Dragon Ball world, and Naruto would do the same in the ninja world. They would start to share their stories, like Naruto's fight against Pain and Goku's battles against Frieza. Through these shared experiences, they would grow closer and closer, until they are inseparable brothers who are ready to take on any threat to their combined worlds.
They would likely have a very strong bond. Since they are brothers, they would support each other in battles and in their personal growth.
Naruto's ability to use chakra could give Goku a new way to power up. Maybe Goku could learn to combine chakra with his ki, creating a whole new level of power. Also, Naruto's shadow clone jutsu could be used by Goku in his training, allowing him to fight multiple opponents at once and improve his skills faster.
Goku's powers are on a much higher scale. His ability to destroy planets as a Super Saiyan makes him far more powerful than Naruto at his strongest. Naruto's jutsu are mainly focused on the ninja world, while Goku's powers are universal.
If Naruto is trained by Goku in fanfiction, his character would experience significant growth. Naruto is already a determined character, but Goku's training could make him even more so. He would learn to value hard work in a different way. His relationships with his friends might also change as he becomes more self - reliant in his training. Additionally, Naruto's sense of justice could be broadened by Goku's more universal view of protecting the innocent. He would no longer just be focused on his village but on a larger scale of good and evil, making him a more well - rounded and developed character.
His character would become more confident. With Goku's support and the newfound power from being in the Dragon Ball universe, Naruto would have less self - doubt. He'd be more eager to take on challenges.
At first, it might be tense. Bardock is a hardened Saiyan warrior from a different era, and Goku has grown up on Earth with a very different set of values. But as they start to communicate, they would find common ground in their Saiyan blood. Goku's pure - heartedness could gradually win over Bardock, and Bardock's strength and pride could earn Goku's respect.
Well, Goku in the Naruto world would be quite an interesting scenario. Goku's training ethic might inspire the Naruto characters. He might also try to learn some of the ninja techniques. However, his raw power would likely overshadow most of the jutsu in the Naruto world. For example, his Super Saiyan transformations would be far more powerful than many of the ultimate ninja techniques.
In a Goku Naruto crossover, both characters have their own strengths. Goku's physical strength and energy attacks are off the charts. His ability to instantly teleport and sense ki gives him an advantage in combat. Naruto, though, has a unique power system. His connection to the Nine - Tails and his ability to use different types of chakra make him a force to be reckoned with. If we consider a battle, Goku's power might seem greater on the surface. But Naruto has the advantage of being able to surprise his opponents with his ninjutsu and clones. Also, Naruto has a strong willpower that has allowed him to overcome many tough situations, which could play a role in a fight against Goku.
It could start with mutual respect. Goku respects Female Vegeta's strength, and she respects his. Then, they might have some friendly competitions which gradually lead to a closer connection. For example, they could compete in a tournament and after the fight, instead of being enemies, they start to understand each other better.
In a fanfiction, their relationship could develop as Goku becomes more aware of Chichi's needs. He might start to be more present at home, not just for training. For example, he could help Chichi with household chores in his own clumsy way, which would show his growth as a husband.