IP Address to the Bridge or to the VLAN1 to access the switch

Best read on vlans and applicable to the CRSXXX series of switches.
http://forum.mikrotik.com/t/using-routeros-to-vlan-your-network/126489/1

Best video: https://www.youtube.com/watch?v=YLtGQAQ8iS0&t=1394s

To answer the question… The bridge does nothing, you should have a management vlan, and thats the address the Switch Uses internally.
All other vlans are NOT identified, nor are they tagged on the bridge. Only the management vlan has the bridge tagged in /interface bridge vlans.

In terms of management port, one can dedicate a port on the switch for management access or what I prefer is a off bridge configuring and access port.