Not all splitters are surge protectors, but most surge protectors are splitters (though single outlet surge protectors do exist). It is likely that when OP said "surge protector", they meant something like this: https://imgur.com/qHR9UFu

Yes. We often say "power strip" to better indicate that you plug in one end to get a strip of outlets to use. Ideally it's also a surge protector, so if something goes badly wrong, the things plugged in are protected.