In a large bowl, combine warm water and sugar, then sprinkle yeast on top. Let stand for 5-10 minutes until foamy.
Add flour, salt, and olive oil to the yeast mixture. Mix until a soft dough forms, then knead for 5-7 minutes until smooth and elastic.
Place dough in a greased bowl, cover with a towel, and let rise in a warm place for 1 hour or until doubled in size.
Preheat oven to 400°F and line a baking sheet with parchment paper.
Punch down dough and divide into 12 equal pieces. Roll each piece into an 8-inch rope and place on prepared baking sheet.
Bake for 12-15 minutes until golden brown.
Meanwhile, combine melted butter, minced garlic, garlic salt, and parsley in a small bowl.
Brush breadsticks generously with garlic butter immediately after removing from oven, then brush again just before serving.