Yes, this is electronic hill assistance. Since there's no hand brake, the car automatically holds the brake for about 2 seconds or so. If you just wait, it'll let go, reengaging again as soon as you trap the brake. It's a little annoying, making it easy to rev a little high, but a must have for hilly city driving with no hand brake.
Nothing wrong with your car, just have to get used to it and find the sweet spot for there control.