Assuming there are no tags, I think that this is a 1950s bridesmaid's dress that was home sewn or dressmaker made. It could also have been made for a summer garden party but I think it's a bridesmaid's dress. The slip and the gloves looks like they might be rayon or silk taffeta and the overdress looks like organdy or organza. If there is any place you can snip a thread you could do a burn test. It could be all silk. The organza may have been stiffened or has gotten stiffer with age.
I will be interested in what others have to say, too. The lines of the dress look more '50's to me than '30s - although the separate slip seems '30s. The side zipper doesn't look '30s to me. I have a sheer early '50s dress that must have had a matching under slip. Could you show us the zipper pull and any seams? I have been trying to find out if fingerless gloves were worn in the '50s for weddings.
I agree it's a lovely dress. You find the best pieces!