You can add a view off screen to the right, and then you can animate it to a new frame on-screen. Another common use for this method is to animate modal menu views from the bottom. You can also animate other properties of the view, such as the alpha value to make a view disappear/reappear.
// the size of the screen minus the Status Bar
#define SCREEN_FRAME [[UIScreen mainScreen] applicationFrame]
// add the full-screen view offscreen to the right
CGRect frame = CGRectMake(SCREEN_FRAME.size.width,
SCREEN_FRAME.origin.y,
SCREEN_FRAME.size.width,
SCREEN_FRAME.size.height);
UIView *view = [[[UIView alloc]initWithFrame:frame]autorelease];
[self.view addSubview view];
// this is the frame the view will end on after the animation
CGRect newFrame = CGRectMake(SCREEN_FRAME.origin.x,
SCREEN_FRAME.origin.y,
SCREEN_FRAME.size.width,
SCREEN_FRAME.size.height);
// animate the transition
[UIView beginAnimations:nil context: nil];
[UIView setAnimationDuration: .5];
view.frame = newFrame;
[UIView commitAnimations];