PÜNCT is a connection game: the goal is to link two opposite sites. On your turn, you either bring a new piece into play, or you move a piece that is already on the board.
The more pieces you bring into play, the more possibilities you have to make a connection. But each time you put a new piece on the board, you reveal a bit of what your plan is. The trick is to place your pieces in such a way that your opponent will expect you to do something different from what you really have in mind.
As such, PÜNCT is not only about making a connection, but also about misleading your opponent. You'll have to proceed subtly.