OK, assuming you got your set up right yesterday, once electricity is back up, MB should automatically connect again, it keeps all the WIFI info saved even when not under power. You should really only have to access your control panel when you need to change this again.
And if your wifi is set up correctly, you do not need to connect the ethernet cable again, you can simply scan your network, find the current IP address and if both your PC and the weather bridge are connected to the same router, you should be able to access your control panel directly from a browser.