It doesn't. Bridge mode is basically turning of the 'brains' in the modem and turning it into a dumb 'pass through' device (you should try Google instead of posting to the forum first to speed up getting a answer).
As it is a 'bridge' or passthrough device, it doesn't know or care what sort of 'connection' it has, all it does is 'passes' the data back and forth and relies on each end (your service provider / your network) to resolve anything else.
Commonly if some high end technology is in place either at your POE (point of entry), in the local node (the box that all the homes in the neighborhood are tied to), or the CLEC (the building your Provider connects to all the houses in that 'region' or 'area' together) can make the use of a smart modem redundant (aka gets in the way) and thus they set the modem to just be a 'bridge' as they manage the network at the POE/Node/CLEC instead of you doing anything in the modem/router (setup the firewall, adding VPN, DMZ, etc.).
That previously proved to be too costly (hardware and endpoint hardware) and too restrictive, but most of all too obtrusive (literally did SPY on what you were accessing). So to reduce liability, costs, and most of all the support staff (anytime you wanted to do something you had to call the ISP for service), they went with the current model. Just endpoint connection, then it is up to you to either RENT a modem/ router THEY preconfigured and just 'walked away' OR you provided your own and you supported it on your own.