The short version: modest weight effect by current standards, solid glycaemic effect, and a cardiovascular outcome trial that established the class effect before anything else did.
Structurally: a C16 palmitic acid attached via a glutamic acid spacer at position 26, plus a lysine-to-arginine substitution at position 34. The acyl chain binds albumin, but less avidly than the diacids used later, giving a half-life of roughly thirteen hours.
The relevant detail is that licensed dosing is 0.6 mg daily as initiation, titrating to 1.8 mg for glycaemia and to 3.0 mg for weight management, with weekly titration steps rather than four-weekly ones because steady state arrives within days.
The C16 acylation strategy is the direct precursor to the C18 and C20 diacid strategies used in the weekly agents, which is a clean illustration of how the class developed.
LEADER is the citation for cardiovascular outcomes, SCALE for weight.