Why does Dill feel self-important when he arrives in Maycomb? its in chapter 1
The answer to this question is not a simple "he can read" because Dill is not a simple character in this story. Dill is based on Truman Capote who was a childhood friend of Harper Lee. He is not portrayed as "self-important" in the novel but rather a young boy who creates fantasies rather than deal with his life. His mother abandons him to live with relatives so she can pursue her own happiness. Dill has to have a make-believe life because his own is unbearable. He is a boy living in a world of adults and is suddenly given the gift of childhood friendship by Scout and Jem. He has to learn how to relate to someone his own age instead of standing out to adults. Harper Lee maintained a friendship with Truman Capote even while To Kill a Mockingbird was being published. She was recalling a fragile young man who arrived in a small town where everyone knew your business rather than a city where anonymity was the order of the day. The fact that Dill can read does not make him stand out anymore because Scout can do the same thing.
In chapter 1, Jem and Scout first discover Dill sitting in Miss Rachel Haverford's collard patch. After a short introduction, in which Dill mentions that he can read, Dill tells the siblings that he is from Meridian, Mississippi and that he has gone to the movies twenty times. This information intrigues Jem and Scout, who only get to see "Jesus ones [movies] in the courthouse sometimes." Dill feels self-important because he is an experienced moviegoer, who has seen Dracula. When Dill mentions that he saw Dracula, Jem's eyes light up, and Dill proceeds to "reduce it [Dracula] to dust." Being a newcomer to Maycomb, Dill takes pride in the fact that he has some additional experience and knowledge that Jem and Scout do not have. Since movies are rare in Maycomb, Dill bolsters his reputation by elaborating on the horror movie to Jem and Scout. By "reducing it to dust," Dill also attempts to demonstrate his maturity and courage.
Because he can read. (He thinks this is a big deal because he's young until he finds out Scout [who is younger] can read.)