Look on FMDB. It's Objective-C wrapper for SQLite. It has simple syntax, similar to SQLiteDatabase in Android. As far as I know there is nothing similar to Android contract for iOS development. Try to use FMDatabaseQueue from FMDB. It allows to access database in thread-safe manner.
P.S. CoreData is ORM for iOS and OS X. If you have Android contracts, it is much more easier to port them to iOS using FMDB.