With the angled face to the south, the greenhouse-like shelf makes sense. An all-glass roof sloped to directly catch maximum summer sun concerns me. I would bet a summer white canvas covering would happen to reduce the bake oven effect. I am not enamored of the largely glass exterior, but it does have the attraction of a novel way to protect lower walls from splashback. Ash's berm-shed-like timber bracing looks cool, though I think a far more modest version of it would be fully sufficient to stabilize this structure which has no lateral forces on it aside from wind and doors opening and closing.
I note the cob layer inside the glass facing in a detail; would this cob be in danger of trapping water vapor at the cold face and getting waterlogged? I think using the exterior glass skirt as splash barrier, but leaving air circulation space (an inch or so) behind it and letting the cob breathe might work better. Also, the principle of interior mass insulated from the outside seems to be turned upside down here - granted the amount of cob is not really enough to call "mass". I could see reducing the overhang under the shelf and making an actual mass thickness of cob on the interior, with an insulating layer and perhaps more cob behind the glass on the exterior. Maybe this sandwich could be made visible at a corner or end as a demonstration.
For the roof, the relatively low slope does make glass attractive for waterproofing, but it also necessitates high-tech sealants between panes to avoid leaks. I agree with the notion of increasing light into the depths of the garage space. I wonder if there could be a solid roof with a clerestory strip at the upper end abutting the existing wall. That would allow insulation on most of the roof to reduce massive winter heat loss and summer heat gain, yet still light the interior.