Not clear why you will be pumping.
There is absolutely zero reason to pump before baby is born. You won't get any milk, and you'll just irritate your breasts.
After baby arrives, unless there is some specific reason you cannot nurse at the breast -- you nurse the baby. It's important to get baby onto the breast as soon as feasible (ideally within a few minutes of being born), to get him nursing well and get your milk supply in. Early bottles can interfere with both of these, and there are many things your boyfriend can do to bond with the baby. Bottles are best introduced for a healthy mother and baby at around 6 weeks, when your supply is well established and baby is nursing well.
If baby is sick or premature and unable to nurse, the NICU nurses will show you how to pump with the top-grade pump they have available there and again, that will be AFTER baby is born.
EDIT: I would also add that the most important factor in whether or not you are successful at breastfeeding is education. The fact that you've asked this question suggests that you know little about it. Support is important too, and if your boyfriend is pressuring you to pump right away so he can feed the baby, it doesn't sound like he's going to be very supportive.
So -- spend the next few days, before your induction, educating yourself about breastfeeding -- how it works, how milk is produced, what factors can hinder success and when to seek help. And make sure your boyfriend knows that you WILL be breastfeeding, and you expect support .. not to be told that 'just one bottle won't hurt,' and 'why won't you let me feed the baby?'