Engine oil would be fully synthetic, but specifically which brand & viscosity is really personal preference these days. Personally, I use 10/60 Castrol Edge (which is considered too thick for most). You'll find the majority use a 5/30 from any of the major brands (Royal Purple, Castrol Edge, Penrite, Motul, Mobil 1 etc etc).
As for transmission oil, thoroughly recommend a GL4 (not GL5!) 75/90. There aren't many options available unfortunately. I use Caltex Easy Shift (GL4 75/90). There are alternatives you can try if your synchros have become knotchy/crunchy & you want to prolong a rebuild (ATF Dextron III).