To hear the prophecy you need to be mentioned in it. So maybe anyone can hear this prophecy because the end of the world effects everybody. But if not, taking Harry there and him hearing it would be confirmation that its about him.

Though, verification may be a moot point and Dumbledore may already know the prophecy about Harry. After all, Dumbledore heard the end of the prophecy in the dinning hall back when it was "he is coming" rather than "he is here". And Dumbledore also gave excuses not to take Harry into the hall of prophesy

Harry was staring directly at Albus. "Can I go to this Department of Mysteries place and hear the recorded prophecy? The original tone of voice might be helpful, from what I've heard."

Light glinted from the reflection of Albus's half-moon glasses as the old wizard slowly shook his head. "I think that would be unwise," Albus said. "For reasons beyond the obvious. It is dangerous, that place which Merlin made; more dangerous to some people than others.".