This achievement is easy enough, you just have to select the tutorial from the play menu and complete it.
If you're new to the game I recommend this be one of the first things you do, the tutorial walks you through the basics of the game and does a good job of explaining how running an island in Tropico 3 works.
Once you've completed the tutorial the achievement will unlock, doing this shouldn't take you more then half an hour, it does need to be done in one sitting as there's no save feature within the tutorial.