Not exactly, but yes it's similar, just more aimed at being pretty and attractive than providing maximum support and wicking away sweat. So generally a much nicer thing all round! :) You're absolutely not too big for one, you'd look great in it, however if the top is backless I would really encourage you to be brave and not wear a bra or anything else under it. The whole point of a backless top is to be bare-backed and you're the perfect size for the style - no way are you too big to go without a bra. A girl with some curves in a backless top or dress is an exceptionally cute, confident and attractive look - I understand that it may be scary but be brave and give it a try, I guarantee you'll look fantastic! You have a great figure - be proud of it. :)
It's called a chiyo bralette, That's a remake, and not the original. It's at Brandy Melville. So, if you have a Brandy Melville, or a Pacsun, which has the collection you can probably find one there.