Hello and welcome to the Intel® Embedded Community.
Officially IEGD supports GME965, the embedded version, whereas the GM965 (without the "E") is intended for consumer PCs. See the IEGD platform support matrix here:
If you look at the specs, there are a few slight differences between the two. I am not a technical expert so can't say if IEGD cares about the differences.
Here is a good starting point where you can find a wealth of technical info on IEGD:
I hope this helps.
J. Felix McNulty
Community Moderator (Intel contractor)