if you have a working objc version why not just import it with a bridging header? there is no one document about converting obj-c to swift, if you really want to convert it you are going to need to do it line by line.
also what exactly are you trying to do? get a live camera feed displayed? these docs have been ported to swift and would suit that purpose but you would need to get the input port first.
https://developer.apple.com/library/mac/documentation/AVFoundation/Reference/AVCaptureVideoPreviewLayer_Class/index.html#//apple_ref/occ/clm/AVCaptureVideoPreviewLayer/layerWithSession:
Update: how to import obj-c headers, a newer way to create them that isnt quite as talked about yet is to just create any normal .m file or objective c file then select yes to creating a briding header, it configures everything for you.
That being said it may be worth while to play around with the basics a bit more and maybe follow a few guides before attempting to implement this type of feature if you are having issues with following the links.
Here is a random application creation guide http://www.ioscreator.com/tutorials/calculator-tutorial-in-ios8-with-swift that should teach you alot. i would recommend following and reading through stuff like this until you have a bit more of a footing and can come up with more of an exact question. no one here is going to rewrite the apple program for you and your questions are extremely broad.