Well, I managed to find this, if anyone is still lost.
496. What is the difference between endergonic reactions and endothermic reactions? (Likewise for exergonic and exothermic)
Endergonic and exergonic refer to free energy changes (delta G). Endothermic and exothermic refer to the changes in internal energy of molecules, measured as heat given off or taken up, delta H.
Delta g takes into account not only changes in internal enregy but also changes in entropy (delta S) that may accompany a reaction.
For most ordinary simple chemical reactions, the entropy factor is not great, so chemists usually talk about delta H.
For many biological reactions,the entropy factor is significant, so biochemists usually talk about delta G.
Delta G = delta H - (T x delta S ).
Despite the signs, which have to do with the way these terms are defined, delta G is the sum of the 2 effects.
Essentially I think there's this other thing called delta S which is basically the change in Gibbs free energy of a system, and delta H, which is the change in the heat content (enthalpy) of a system. Gibbs free energy measures the so-called "randomness" of a system. And delta G is basically the sum of these two effects. I really don't think the theory behind it is relevant in Biology (it's more physical chemistry related) but hmm, I think that's probably enough to understand the gist of what it's about.