Peter Parker had a normal life, meeting Mary Jane, Harry, and Flash at some point of time. His parents died when he was young. This was dramatically changed after being bitten by a radio-active spider, which gave him his spider-like powers. At first, Peter used his powers for personal gain as a wrestler to win prize money. His Uncle Ben noticed Peter changing and tried to talk to him, telling him, "With great power comes great responsibility". Ben would later become the victim of a crook Peter let escape, it was here that Peter finally realized that he had the power to stop that criminal, and he did not; he lost his uncle because he did not do what was right. With that guilt and Ben's words driving him, Peter turned to becoming the Superhero Spider-Man using his powers to fight for justice and foil crime.
After one year as a vigilante Spider-Man stops the Trapster from robbing a money car. Fury appears behind him offering him a membership to S.H.I.E.L.D. but rejects the offer and leaves. He met the Frightful Four (sans Trapster) and fought them. He escaped by going into the ventilation shaft. Harry got injured in the fight and Peter feels responsible for it. He then decided to join S.H.I.E.L.D. and got taken in by Fury. Paired with a group of teenage superheroes consisting of Power Man, Iron Fist, White Tiger, and Nova, Spider-Man fights off an array of criminals and other threats with the S.H.I.E.L.D. organization.
Throughout the course of the series, Spider-Man has faced a myriad of foes, including Doctor Octopus, Taskmaster, Green Goblin, and even Venom (a being engineered from his own DNA), as well as several heroes like the Avengers. During this time, Spider-Man's fights alongside his team allows them to grow closer together and mature into stronger heroes, eventually expanding his team with other young superheroes.