Do I need to bring my own camera to be a photography apprentice in the studio?

No need to bring it! Now you are just working as an assistant, that is, helping the photographer adjust the lights and change the background. In short, he is a handyman, but you should carefully look at the photographer's lighting layout. Usually you can't do anything now. The photographer will tell you where to put the light, whether it should be higher or lower, and where to put the reflector. Remember carefully, if you really can't do it, find a book to draw, go back and learn slowly, and then you can know when the person being photographed is standing in front of the camera without a photographer.