Breaststroke
Here are some posts from the INTERNET regarding improving your breaststroke.
I focus on distance per stroke, rapid recovery, and walls. By walls I don't just mean your turn itself, though important. It's everything from inside the flags to your next breakout. Good timing to stretch into the wall, stay tight and stay low, don't move your head, big push, tight streamline, appropriate depth, good timing on your underwater transitions, BIG HUGE PULL (not down your side either!), keep your head down coming up, smooth breakout into your breakout stroke and start hard! A lot of my swimmers wait to "get into their rhythm" but you need to get and keep it on your first stroke.
Perfect practice makes perfect. You need to practice both your strengths and weaknesses while you swim, there is no such thing as mindless swimming. With technique, speed will come. Technique first.
Is breaststroke your best stroke? What is your time now and how quickly do you want to make the drop to below 1:00?
I wasn't the greatest at breast, but I was pretty flexible and was a sprinter/mid dist guy who could pull out an IM if I had to. I didn't go under 1:00 until college, though. At the time I did it, I was pretty strong and could also go under 21 in the 50 free. So if you're the strong-type, just sprint the thing all out and figure out how far off you are (especially since it's SCY). Then work at top speed or endurance to make it happen.
My guess, though, is that you're in high school and swim breaststroke as your main event. My suggestion is to make your goal 57.5 to 58.5ish (so you have some wiggle room) and figure out what you have to do each lap to get to your goal.
Next, about once a week, sprint a hand full of 125's on lots of rest at the last 3 laps' pace and sprint a hand full of 75's at race pace from the block with TONS of rest. You want your body to be used to going that fast, to be familiar with the fatigue without your technique breaking down, and to establish confidence that you can do the race in pieces. After that, you just have to shave, put on a cap and put it all together.