A fast initial idle (~ 1500 rpms) is completely normal for all cars with an automatic choke (which would be all fuel injected/computer controlled engines).
And yes, that means if your car isn't doing a fast idle on a cold start, there is something wrong with it.
It shouldn't last more than a minute or so (and may only last a few seconds), depending on the temp the engine was at when it was started and how quickly it's able to warm itself so that it no longer needs the choke. If it was very cold, it will fast idle longer than if it was hot, etc.
Again, perfectly normal.
That being said, anything much more over that rpm you should have checked, as you probably have a sensor or IAC servo going bad.