The Swinging Mod 60s was shaped by two designers: Courrèges' in Paris and  Mary Quant in London, both  laying claim to introducing the mini skirt. All about freedom and breaking  tradition, once the mini came to prominence it quickly made it's way into bridal fashion.  The traditional veil was sometimes replaced with a head wreath,white lace bandanna . . . or-- shockingly at the time--nothing at all. 

Both the above dresses are reproductions, neither actually haring back to the 1960s, yet evocative enough to create a look worth accessorizing.  The image below is straight out of the era . . .

Getting the Look:

 Dress your legs.  Tights and pantyhose were a new and welcome invention.  White lace or opaque, overnight tights eclipsed stockings that had to be held up with garter belts--which would never have worked with the mini skirt . . .
Find a pair of white Courrèges' boots if you can (pictured above).  Brides sometimes sported the white lace mini dress with these new and groovy space-age ankle boots that swept the fashion scene round about 1964.  

It is very 60s to carry or wear daisies in your hair.  The daisy is a flower symbolizing youth and whimsy.

 Brides often wore mini skirts with very long cathedral veils, again, breaking the tradition of the long veil matching long dress.