The iPhone 13 Pro has the same screen size as the iPhone 13, but comes with more built-in storage and notably, a display with a refresh rate of up to 120Hz. It's an adaptive display, meaning it can intelligently change between a low refresh rate, which saves on battery, and its highest 120Hz refresh rate, which makes the motion of UI elements and content that support 120Hz (e.g. games) appear super smooth.
iPhone 13 series features, summarized
120Hz ProMotion OLED display (iPhone 13 Pro and Pro Max) / 60Hz OLED display (iPhone 13 and iPhone 13 mini)
Double the base storage (over last year's models)
20% smaller notch (over last year's models)
5G support
Larger batteries, improved battery life
Improved cameras with Cinematic Mode, faster Night Mode