Peel and slice broccoli stalks very thin with mandolin or food processor. Place in a canning jar. Bring vinegar, sugar, garlic and salt to a boil in a saucepan or in the microwave, stir until sugar is dissolved. Pour over the broccoli stalks, add water to fill jar and cover and let sit at least an hour until ready. Store in the fridge for at least 2 weeks.