I'm not a trainer, but I'll share what I do know. The only thing I can think of that he is talking about is higher weights - lower reps are for building mass, and lower weights and higher reps are for strength. But he's WAY off about the bulking bit! Surely he isn't a trainer, and if he is then he is an idiot.
I only wish bulking up could be a quick thing that happened before I realized it! It takes months and sometimes years to reach the physical goal we want with weightlifting, and bulking up requires hormones that most women don't have enough of, and lots and lots and lots of training. Weight training is a gradual process and we don't have to worry about giant muscles popping out spontaneously. If it were me, I'd go back and ask him for his credentials.