I need to show 3 items in a UICollectionView, with paging enabled like this

you will have to override targetContentOffsetForProposedContentOffset:withScrollingVelocity: method of the flow layout. This way you snap the stopping point of the scrollview.
-(CGPoint)targetContentOffsetForProposedContentOffset:(CGPoint)proposedContentOffset withScrollingVelocity:(CGPoint)velocity
{
CGFloat yOffset = MAXFLOAT;
CGRect proposedRect;
proposedRect.origin = proposedContentOffset;
proposedRect.size = self.collectionView.bounds.size;
CGPoint proposedCenterPoint = CGPointMake(CGRectGetMidX(proposedRect), CGRectGetMidY(proposedRect)) ;
NSArray *array = [super layoutAttributesForElementsInRect:proposedRect];
for (UICollectionViewLayoutAttributes *attributes in array)
{
CGFloat newOffset = attributes.center.y - proposedCenterPoint.y;
if ( fabsf(newOffset) < fabs(yOffset))
{
yOffset = newOffset;
}
}
return CGPointMake(proposedContentOffset.x, proposedContentOffset.y + yOffset);
}
Also you will beed to set the sectionInset of the flow layout to center the first cell and the last cell. My example is the height but easy to switch to width.
CGFloat height = (self.collectionView.bounds.size.height / 2.0 ) - (self.itemSize.height / 2.0) ;
self.sectionInset = UIEdgeInsetsMake(height, 30.0, height, 30.0) ;