The AstroJS Supabase URL Shortener project aims to create a user-friendly URL shortening service using AstroJS and Supabase. It allows users to generate short, shareable links from long URLs and offers customization options for aliases. The service utilizes Supabase's serverless functions for backend operations and supabase postgresQL database. Future extensions may include link expiry, QR code generation, and integration with external services for enhanced functionality.