Will I have to remove composite bonding before I can get braces?

If the bonding is only replacing the natural size and shape of your tooth OR correcting smaller teeth to make them a more natural size, then more than likely it will not need to be removed.  Bonding is removed prior to ortho for two reasons: 1) it interferes with the movement of teeth or the bite 2) the bonding doesn't fall within the range of normal tooth size and hinders movement of teeth.  Brackets can definitely be bond directly to bonding though.  I would not invest in having your bonding replaced prior to braces.  See an orthodontist who will give you a plan and make the final decision about the bonding.  Otherwise, you may invest in the bonding and have to replace it later.