if plugged into the power supply, should the Cinema Display A1081 standby light come on without being plugged into a mac

I was given an old Cinema Display A1081 a few years ago. I am trying to test it and want to know if plugged into the power supply, should the standby light come on without being plugged into a mac? I don't want to buy a DVI to mini display adapter if it isn't working. One thing I did do was plug Monitor power in and then the USB plulg into my PC laptop and my iPhone charger USB plug into the back of the monitor. I am able to charge my iPhone this way so I know that the power supply is working. But I can't tell if the monitor itself is workign as no ligths are on. (PS: I am purchasing my first Mac so I am a complete newb but very proficient with PCs) Thanks so much for your help.