Often in fanfiction, Gohan's Super Saiyan 2 form can have new abilities. Maybe he can fly faster or has some sort of energy shield while in that form, which is not shown in the canon. His mental state in the form can also be different. In the original, he was often very focused, but in fanfiction, he could be more reckless or more in control depending on the story's plot. He might also use the form in situations where in the canon he wouldn't, like in everyday life just to show off or to solve minor problems.
In fanfiction, Gohan's Super Saiyan 2 form might have different power levels. For example, some fanfics might make him much stronger than in the canon, able to defeat enemies with a single blow that would give him a tough fight in the original story. Also, his appearance in the form could be more detailed or different, like his hair being a different shade of gold.
Fanfiction sometimes takes Gohan's Super Saiyan 2 form in unique directions. His power growth in the form could be tied to different things compared to the canon. For instance, instead of just training hard, it could be related to his relationships or his study of ancient Saiyan lore. The form could also have a different impact on his body. In the canon, there are some limitations and drawbacks, but in fanfiction, these could be completely different. For example, instead of getting tired quickly, he could actually gain more energy the longer he stays in the form, which would completely change the way he fights and the strategies he uses.
If you want the clearest chapter reference, go to Chapter 11. Early on, After a meeting, Shang Shaojing pinched the bridge of his nose, tired, and...; later, the chapter leans on How is it going with the Jiang Family?" The assistant looked troubled and....
Chapter 658, "What About My Daughter-in-law?", is the clearest early answer because it turns Daughter's situation into a concrete plot event. The chapter turns that into something concrete by moving from Jiang Li remained calm and composed, "You didn't ask me, did you?"...
Chapter 762, "Your Son is Even Worse than a Mountain Pig!", is the clearest early answer because it turns Xie Zhenjie's situation into a concrete plot event. The chapter turns that into something concrete by moving from The suit was immaculate, and he was very dashing.
Chapter 532, "Little Lolita Beats Up Jungle Python?!", is the clearest early answer because it turns Guang Shengrong's situation into a concrete plot event. It opens with Outside the cave, the four people grasped their weapons tightly and...
Chapter 727, "Can't Keep Up with the Twists Anymore", is the clearest early answer because it turns Chengcheng's situation into a concrete plot event. The chapter gives readers a real answer by opening on Jiang Li only posted one picture, but it shut up those haters.
Chapter 866, "Why don't you die in his place?!", is the clearest early answer because it turns Chen Nanyu's situation into a concrete plot event. A useful checkpoint is the way the scene starts with In Shuiyun Temple, Changqing silently watched everything happening in...
Chapter 757, "Don't come begging us then!", is the clearest early answer because it turns Don's situation into a concrete plot event. The setup is Old Man Cheng's guess was spot-on., but the pressure keeps building through After the friends of Jiang Li and a few others arrived, there had....
Chapter 764, "Has Someone from the Rong Family Arrived?!", is the clearest early answer because it turns Rong's situation into a concrete plot event. Early on, The banquet was nearing its end, and many guests had gradually left.. By the end, Lin Manru was especially anxious, "The Rong Family?.
Chapter 777, "Backstage Buffs Stacked!", is the clearest early answer because it turns Jiang Li's situation into a concrete plot event. Early on, Jiang Shixu also knew about his trending on social media.. By the end, You've worked so hard for so long, are you willing to give it up?"....
Chapter 938, "When Did the River Moon First Illuminate People? [Extra · River Moon Chapter]", is the clearest early answer because it turns Director Guo's situation into a concrete plot event.