React Native uses native OS components, meaning they'll render fast. But if you want to do heavy computing you may get frame drops. Some bundled components are partially native and partially custom, so you'll still need to be mindful of how you work with them.
In my opinion, for many use cases you'll be able to write an app that really feels native an performs very well. If you need more performance or other custom stuff you are also able to integrate your own native components (e.g. Swift/Objective-C, etc.) into React Native.