While SQL is a great tool for storing information, it's not ideal for finding connections among users to enhance a website's social experience. The Flask tutorial builds a microblog application using SQLite, but an expanded version with Neo4j-powered social features provides better results. A graph model allows for easy querying of questions like "What are the top tags of posts I've liked?" or "Which user is most similar to me based on tags we've both posted about?" These queries can be answered using Cypher, a query language used in Neo4j. The expanded application includes features like recommending similar users and displaying similarities between two users when one visits another's profile.