iOS make part of an UIImage transparent

First, I assume you have a UIBezierPath (iOS), not an NSBezierPath (Mac OS X).

To do this, you will need to use core graphics, creating an image context, drawing the UIImage into that context, and then clearing the region specified by the NSBezierPath.

// Create an image context containing the original UIImage.
UIGraphicsBeginImageContext(originalImage.size);
[originalImage drawAtPoint:CGPointZero];

// Clip to the bezier path and clear that portion of the image.
CGContextRef context = UIGraphicsGetCurrentContext();
CGContextAddPath(context,bezierPath.CGPath)
CGContextClip(context);
CGContextClearRect(context,CGRectMake(0,0,originalImage.size.width,originalImage.size.height);

// Build a new UIImage from the image context.
UIImage *newImage = UIGraphicsGetImageFromCurrentImageContext();
UIGraphicsEndImageContext();