What to Expect When Your Breasts Bud. Once the budding begins, your breasts will go through growth spurts just like the rest of When it comes to puberty. A community forum for teens. Find advice on self-harm, stress, depression, puberty, Along with gaining curvier hips, your breasts grow during puberty. Teen Health; Breast Stages in Puberty. With stage 2 comes breast budding, or elevation of the breast and nipple from the chest.