Hi at all,
I have a question, what function that allows me to use, within my mobile application (I'll have to create), the camera, and maybe even the ability to organize into folders the pictures I shoot? (it's for iPad)
This is a question better posed to the Apple Developer community. Most developers here work on web pages and not mobile apps. The key difference being that the mobile apps are tied into the API of the phone itself utilizing functionality such as the camera or GPS, whereas websites do not have this luxury, mainly for security reasons.
That is the camera documentation from Apple and should give you a good starting point if you are familiar with XCode and have started building an app already.