Will my school notify the state that I have completed my courses?

No, your real estate school does not notify the Real Estate Commission that you have completed the 75-hour Pennsylvania pre-license course.
Instead, the Commission requires the student to submit copies of their two Certificates of Completion, which they use as evidence that you have completed the required pre-license education.
You will need to submit copies of your Certificates of Completion for both your state exam registration and your license application.