Well, it really depends on the specific fanfiction. There are countless Naruto fanfictions out there, and while some might give Naruto the Sword Force Edge for the sake of an interesting plot twist or to enhance his combat abilities in a unique way, others may not. It's all about the creativity and direction of the individual writer.
I'm not sure specifically as I haven't read that exact fanfic. But it might be about Naruto somehow obtaining or being associated with the 'force edge', perhaps in a crossover scenario where elements from Naruto's world and some other concept related to the 'force edge' are combined.
Some Naruto - centered fan communities might also be a good place to look for it. There could be forums or groups dedicated to Naruto fanfics where someone might have shared or mentioned this particular fanfic. You can ask around in those communities if you can't find it on the major fanfic platforms.
One new ability could be Force jump. Naruto could use the Force to propel himself into the air much higher and farther than his normal jumps. Another would be Force sense, which would let him detect hidden enemies or traps more easily. He could also use the Force to influence the minds of his opponents on a minor level, like creating distractions or making them hesitate during a fight.
Well, if Naruto had the Force, it would completely transform the Naruto universe. His already impressive physical abilities combined with the power of the Force would make him nearly unbeatable. He could use the Force to enhance his speed and strength even more during battles. His Rasengan, for example, could be infused with the Force to become an even more devastating attack. Also, he could use the Force to sense danger and the presence of enemies from a greater distance, which would give him a huge advantage in his ninja missions.
Well, in some fanfictions, Naruto might obtain the overpowered sword through a mysterious inheritance. Maybe it was left by a powerful ninja from the past and Naruto discovers it in a hidden cave or something.
Well, in some fanfictions, Naruto might obtain the Master Sword through a strange portal that connects his world to the world where the Master Sword exists. Maybe he's on a mission and stumbles upon it by accident.
In some fanfictions, Naruto might obtain the dragon sword through a special quest. Maybe he stumbles upon an ancient temple during one of his missions where the sword is hidden as a powerful artifact, guarded by some kind of magic or traps. He overcomes these obstacles using his ninja skills and determination, and thus gets the dragon sword.
Well, in some fanfictions, Naruto might obtain the Sword of Tengu through a quest. Maybe he has to help a spirit or an ancient being in return for the sword.