No it's not a class D amp. It's a class A/B amp on a chip. Check-out http://www.audiosector.com or http:www.chipamp.com for more information on this genre of amps. Here's a link to the National Semiconductor page for one of the common chips used.
http://www.national.com/mpf/LM/LM3886.html#Overview
Jim
http://www.national.com/mpf/LM/LM3886.html#Overview
Jim