My doctor said that breasts can grow by one or two cup sizes due to estrogen and progesterone preparing the mammary glands for lactation. It varies from woman to woman, so don't worry if yours grow more or less.
Haan, they get bigger and can feel very heavy. Try applying a little warm coconut oil to soothe the stretching skin, but check with your doctor if they get extremely painful.
They grow quite a bit, so don't waste money buying expensive regular bras right now. Buy cheap maternity bras that are stretchy, you'll need to save for the actual delivery expenses later.