Yes, your instructor should explain what to log after each flight. However basically flight time (brakes off to brakes on) with instructor is logged dual and flight time solo is logged P1. You'll not log any P2 during training and most if not all your PPL flying. You'll also need to log the exercise number/detail in the remarks column.
Ask your instructor at the start of your next lesson to go over your last flights to ensure you log them correctly.
Enjoy your flying!!