Braces: (also known as curly brackets, or curly braces)
Yes, they are the same thing.
And, actually, there are many names for it. According to Wikipedia,
{ }— braces (UK and US), flower brackets (India), French brackets, curly brackets, definite brackets, swirly brackets, curly braces, birdie brackets, Scottish brackets, squirrelly brackets, gullwings, seagulls, squiggly brackets, Tuborg brackets (DK), accolades (NL), pointy brackets, or fancy brackets