Match Gram is a puzzle game where the objective is to match and pop cubes by dragging stacks of sticks. When three cubes of the same type are aligned, they will pop, helping players clear the grid. The goal is to clear the required cubes to complete the level while being mindful not to run out of available space on the grid. Players need to think strategically about how to move and stack the cubes to maximize their moves and avoid filling up the grid.