There is a command, SCORE (or SC for short) which will give you the full details about your character in the game (your 'persona'). This is quite extensive, and many players prefer to use the QS (QUICKSCORE) command, which only displays the more important properties of your persona, including your points.

Whenever you gain (or lose!) points, you will be reminded by the appearance of your new score in round brackets after the event. You'll see it, for example, when you SIP TEA in the Tearoom for the first time; you'll also notice it when you drop treasure in the swamp, and when a fight finishes (assuming you survive!).