Re: Schools in Belgar-earth?
That's a point, DG.
Basic grolim training could certainly be done in the temples (perhaps leading to Belgarath's aside that grolim sorcery isn't all that profound) but given Ctuchik and Urvon's intense rivalry and desire for power, it wouldn't surprise me if both founded small projects at Rak Cthol and Mal Yaska respectively, which would probably grow in time.
The Imperial Military College ( sons of the nobility or talented commoners) and the University of Tol Honeth would indeed be separate institutions and although founded for the education of the Imperial Family, I'm sure that Nedra would have a word with the emperor if some noble wanted his son to be educated at the latter and the price was right. As Silk said, "Everything's for sale in Tol Honeth."
Murgos would probably gain most of their education either in temples or local schools (boys only due to their military society).