What a cute dress!Me?I would do a little black patent action,to go with the dress,but add a little zing,as well.Try a pair of black patent heels,in either an open toe pump,or sling backs.You could also do some white strappy sandlas,for daytime,and black ones for evenings.Match the color scheme for the bag or clutch,with the shoes.You are going to be adorable.
I would wear black pumps and a bright bag. Something that stands out. Don't combine it with only black and white. There has to be something that "pops" with this outfit to keep it from being too dull, especially since it is spring time.
White classic low top converse would be darling! Because this dress looks like it's made out of a jersey fabric so it's more casual. Also, though you can't look TOO casual! So I would pair it with a bright colored clutch.. check out the clutches by Poopy by Coach.. also as long as your on Coach check out their versions of the converse.. I tend to like coach better and they have some adorable products(: Hope I could help! <3