This lecture covers the implementation of the classic game Connect Four in Java, focusing on methods for initializing the game grid, displaying the grid, and allowing players to take turns entering column numbers to place their pieces. The instructor explains the logic behind checking the validity of each move and switching between player turns. Additionally, the lecture delves into the method for a player to request and make a move, as well as the function for a player to play a piece in a specific column. The presentation concludes with a review of the play method, which iterates through the chosen column to find an empty slot for the player's piece.