Disregard everything that snagitseven has told you. It is incorrect information. He's shown you what is used if your computer has an ADC port and your monitor is DVI. That's the opposite of what you have and will not help you.
Before anyone can give you the correct information, there is one question you need to answer: Is your display the 17" LCD flat panel, or is it the 17" old-style CRT?
Also, what kind of G4 do you have? If you don't have an ADC port, it must be an older G4, correct?
If you do not have an ADC port and have the LCD display, you need a DVI to ADC Adapter. Apple still has these for sale, for $99. Dr. Bott used to make a competing product, but I don't know if it's still available. The reason you need this type of adapter is because ADC connections supplied the video signal, USB, and power. There's no way to power the display without these adapters. They're bulky and expensive, but they do work well.
If you do not have an ADC port and have the CRT display, the display you purchased is unusable. The DVI to ADC Adapter doesn't supply enough power to run the CRT. The only way to use the 17" Apple Studio Display CRT is with an ADC video card/system.