Once you get the HM surf go to the rock tunnel Pokemon center but don't go in the cave instead use surf to go south you will find a building this is the power plant.
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you go to the cerulean gym by the floaties on the left after take it back to power plant
Go right from Cerulean City to the Rock Tunnel, you should be able to Surf (With the HM of course.) past there, go down stream, and you should be at the Power Plant.
You don't get the power plant, you go to it. It's in Cerulean city on route 10, when you defeated all of the gym leaders and the elite four, right next to the power plant is Zapdos
at mistys gym after you battle the team rocket grunt look in between tubes or in tubes [Not Sure] there is a piece that says power plant piece then go to the power plant and give it to the guy.
First go to the power plant to hear about the missing part, go to the gym to fid the thief, follow and fight him to find where the part is and return it to the power plant. Then go to the cape to interrupt mistys date. She will then be at the gym to battle you