I would agree that the acrobat manual is pitiful (but I personally hate acrobat). There is a quickstart thing done in webpages that comes with the game (downloaded version at least) that helps a little. Both the quickstart thing and the manual posted online (as web pages, available via the 'Encyclopedia' above) have a brief walkthrough.
The web quickstart does well to get one started. There are also some gameplay examples in the 'Encyclopedia' section here that illustrate some of the games slick features that one might not know about from the manuals (such as one-click massive production changes). If nothing else, most of the gameplay examples are entertaining since they feature the AI developer getting beat! There is also a document on this site that does a little to explain how morale, economics, and production work vs planet size (the gist of which is don't colonize anything below size 15 or you will suffer).
In my experience, any given game tutorial helps one get acquanted with the interface and helps one get started with basic strategy. This game has a LOT of potential little nuances that would never be covered in a tutorial - they're the kinds of things you learn by playing the game, experimenting, (and reading these forums for advice from others who've done the same).
The interfaces for the game, IMO, are easy to use and figure out considering the wealth of information at your disposal.