Incorporating graphics into a C++ project, such as a cricket scoreboard, can be achieved using various methods. The Windows API is suggested for basic graphics tasks, as it provides functions for drawing shapes and text. However, alternatives like SDL and OpenGL are recommended for more robust graphics needs, with SDL being simpler and more beginner-friendly. Qt is also highlighted as a polished, cross-platform option for creating graphical user interfaces. While some participants argue against using the Win32 API due to its complexity, others defend its simplicity for straightforward applications. It's advised to start with a text-based version of the project if new to programming, and to consider upgrading from Visual C++ 6.0 to a more modern compiler for better support and features. Overall, the consensus leans towards using simpler libraries for a beginner project while suggesting that more complex graphics APIs can be explored later.