The Quasar Framework is a high-performance Vue.js framework that enables developers to build different types of applications with a single codebase. It supports Single Page Apps (SPA), Server-Side Rendered Apps (SSR), iOS/Android Mobile Apps, Desktop Apps, PWAs, and Hybrid Apps. By combining Quasar Framework with Hasura GraphQL Engine, developers can leverage the power of Postgres and streamline their development workflow. The Apollo Client is used to perform GraphQL queries in a Quasar app, and Quasar App Extensions allow for extending the application's functionalities.