What you're looking for is geocoding - the process of turning an address in your search bar into a latitude/longitude coordinate, which you can then set the map's position to.
This question has two main answers. This answer shows how to geocode using a Google API, and this answer shows how to geocode using an Apple API.
If you're using MapKit (which uses Apple maps as of iOS 6.0), then you should probably use the Apple API (you are not supposed to use Google Maps APIs with non-Google maps).
If you're using the new Google Maps SDK for iOS, you might want to use the Google API for geocoding. Although note that the answer I've linked to is using the Google API with MapKit (as it was written back when MapKit was using Google Maps), so you would need to modify it a bit.