There is no built-in functionality to do this, but it's pretty simple to do on your own by adding a black UIView with alpha set to zero in your camera view hierarchy, then playing system sound and animating the "flash" view's alpha when the photo is captured.
In viewDidLoad, loadView, or wherever you assemble your view hierarchy
// Assuming cameraView contains your previewLayer...
flashView = UIView(frame: <set your frame>)
flashView.alpha = 0
flashView.backgroundColor = UIColor.blackColor()
cameraView.addSubview(flashView)
Then, in your capture completion block
// Animate the "flash"
UIView.animateWithDuration(0.1, delay: 0, options: .Autoreverse, animations: { () -> Void in
flashView.alpha = 1
}, completion: nil)
// Play the camera shutter system sound
AudioServicesPlayAlertSound(1108)
For more info on the system sounds, see this question: Playing system sound without importing your own.