They key part you're missing is the "without checking prior experience." I taxiid, performed a takeoff, and most of the landing approach on my first training flight, too. The instructor briefed me thoroughly before the flight, inspected my logbook, etc. Every instructor I had after that checked my logbook and the school's internal note keeping system for notes during the pre-flight brief (I'd bet many did before then, too). It is absolutely not normal for a flight instructor to not do these things.