Hello and welcome,
The info I have read from other members over the years indicates it can take up to 1 year for the sternum pain to heal and other patients have posted they had no pain at all right after surgery. There seems to be a wide range when talking with patients re their healing.
I would put a call into your cardiologist and at least talk with the nurse to see if what you are experiencing is normal for you.
Blessings,
Kitt