Exploratory learning is a key methodology in education. This text highlights the role of Graph User Interfaces (Graph UI) in enhancing exploratory learning by providing interactive, graph-structured data representations. Tracing from Euler's work to modern applications, graph structures simplify complex data, aiding cognitive engagement and navigational abilities. Studies show that Graph UI can optimize educational processes, enhancing knowledge acquisition and innovative application through an intuitive, visually structured learning environment. The promising future of exploratory learning through Graph UI invites more research and development to unlock its potential for insightful and accessible learning experiences.