In fact, there is a non-trivial aspect to this. There is a valid question here about what the mechanism is by which this reaction, which is essentially the same as combustion, can take place at ambient conditions in a cell, without generating the highly reactive and hence destructive radical intermediates one sees in a combustion reaction.
This point is glossed over in most standard biochemical explanations, which always seem to witter on in an unsatisfying way about "pathways" and "electron transport chains", without showing any actual mechanisms at the molecular level. (This is one reason why I avoided the biochemistry supplementary option at university and went for the hardcore QM option instead
)
I've dug into this and it seems molecular oxygen is handled by
cytochrome oxidase, which contains a heme structure involving Fe and also a structure involving Cu. Oxygen is apparently bound to Fe, rather as it is in haemoglobin in the blood, and reacts attached to this site in some way. But it looks as if the details of precisely how the O=O bond is split and the two resulting O atoms are handled is, or was until recently, still a topic of research. Here is an article from 1999 with more details:
https://www.pnas.org/content/96/23/12971