Bridge and PPOE
It’s nothing but two modes of running internet on your network.
The basic differences are
we use bridge mode of modem. When we use some hardware firewalls, proxy, or any other medium which comes in between your network and modem.
And PPOE is used when there is direct connectivity between your pc and modem and basically its PPOE point to point protocol over Ethernet.
PPOE connection requires a user name and password given by the internet company
A PPOE connection will give only private ip.
Bridge mode does not require username or password.
Bridge mode can improve upon the internet speed to some extent.
Bridge mode is used mainly with cable internet connection.