He might start by retracing his steps. He would think about all the places he had been recently and search those areas thoroughly. For example, if he was in the library before losing his glasses, he would go back to the table he was sitting at and look around on the floor and on the bookshelves.
One big challenge would be in his studies. Magic often requires precise wand movements and seeing spells being cast by others clearly. Without his glasses, he could misinterpret what a teacher is demonstrating, and this could affect his learning. Moreover, in Quidditch, he would have a hard time seeing the Snitch or other players clearly, which is crucial for the game.
Toge Inumaki is important too. His special cursed speech ability makes him stand out. Also, the principal of the school, Masamichi Yaga, is likely to be important as he is in a position of authority and has an influence on Gojo and the other students. There could be other characters like the members of different clans that also play roles in the complex web of the story.
Gomi Gojo's Territory Opening Gesture was an important element in the " Return of Curse ". Gotto Gojo's domain was displayed as 'Boundless Empty'. This gesture was to pull the enemy into the infinite inner side, forcing the enemy's brain to produce a large amount of information, causing the brain to lose its function and could only stand and wait for death. Although there was no specific description of the hand gesture, it could be speculated that the hand gesture was to expand the domain through a specific posture of the hands.