There is no implicit style that you have to choose, it involves writing a bit of code using the QuartzCore
framework:
//first, you
#import <QuartzCore/QuartzCore.h>
//.....
//Here I add a UITextView in code, it will work if it's added in IB too
UITextView *textView = [[UITextView alloc] initWithFrame:CGRectMake(50, 220, 200, 100)];
//To make the border look very close to a UITextField
[textView.layer setBorderColor:[[[UIColor grayColor] colorWithAlphaComponent:0.5] CGColor]];
[textView.layer setBorderWidth:2.0];
//The rounded corner part, where you specify your view's corner radius:
textView.layer.cornerRadius = 5;
textView.clipsToBounds = YES;
It only works on OS 3.0 and above, but I guess now it’s the de facto platform anyway.