My older sister and I both unwittingly turned up in identical dresses (albeit hers red and mine navy) for our nephew's wedding a couple of years ago. I thought it hilarious and was going to say something about our shared good taste, but she was horrified and spent the entire wedding avoiding me, even refusing to be in the photos. In fact seethed with rage for nearly a year afterwards, which I think was a little extreme. A friend said she was probably cross because I looked better in it than her.
So go head, wear the dress, enjoy yourself and don't worry about the younger one - or mention it to her mum as someone else has suggested.