You can use a gesture detector to detect a swipe left or right.
http://developer.android.com/training/gestures/detector.html
You can then add an animation to animate the movement from one view to the other. How this works varies depending on how your layout is structured ( i.e. two views in one layout with one hidden, fragments that get swapped out ). There are a lot of examples on stack overflow.
swap fragment in an activity via animation
There is a Gallery View, but this is deprecated in API 16. They suggest ViewPager or HorizontalScrollView neither of which really provides the same functionality.
http://developer.android.com/reference/android/widget/Gallery.html
Here are some other options that I personally have not used.
Options for replacing the deprecated Gallery