There are many great examples on SO to remove the left padding of a UITextView.
How to lose margin/padding in UITextView?
However, I need to remove the right pad
Although it is iOS 7 only, an extremely clean solution is to set the textView's textContainerInsets as such:
[textView setTextContainerInset:UIEdgeInsetsZero];
textView.textContainer.lineFragmentPadding = 0; // to remove left padding
This will effectively remove all padding (insets) around the text inside the text view. If your deployment target is iOS 7+ then this is the best solution thus far.