Yes, your milk will still come in and you will need to watch your breasts whilst the milk dries up.
If you get very uncomfortable you could hand express a small amount of milk off that side. Whilst removing milk can encourage more milk production it is negligible in a small amount of hand expressing and it is better that you feel comfortable.
Like all your mothers no matter how you feed, if you get a lot of pain or red, hot patches on your breasts seek medical help asap.
Cabbage leaves in your bra can help.
Binding your breasts is a bad idea and can encourage blocked ducts, stick to a snug supportive fitted bra with no underwiring.
Hope that helps.
Ps. I have no idea why this decision has been made for you and it is none of my business.
However many women are told they cannot breastfeed due to certain medications when there are often breastfeeding friendly alternatives, if this might fit your situation, there is further advice HERE.