It is a full version and yes, it's a retail product as well, just as iLife '05 is (which includes iTunes, iPhoto, iMovie, iDVD and GarageBand).
Appleworks is bundled with every new consumer Mac (eMac, iMac, iBook, Mac mini), while iLife is bundled with every Mac, including PowerMacs and PowerBooks.
They both are not part of Tiger, but part of the software bundle included with your Mac. Only MS Office and iWork are 30-day trial versions.