I can't tell how your bunny will be after the spay, but I can tell you what I did with mine.
First, you are going to want to make sure to get some pain meds from your vet. Metacam is a popular pain med they should be able to provide. There should be no reason they could not provide some pain meds for post-op care. Try to find a vet that uses internal stitches (dissolves over time) and surgical glue to keep the rabbit from chewing its stitches.
When you bring home your bunny, make sure it is going to be comfortable and warm. I would definitely bring it inside if you keep it outdoors during her recovery. If she is free roam, I would limit her activity until she's ready to move around. Some soft blankets and a hidey box is essential.
Food - All of her favorite veggie and fruits. you want to entice her to eat ASAP. A nibble here and nibble there, anything to get her gut going again. little pile of her favorite hays in the box with her and right outside of the box. I also put down some dandelion leaves, parsley, some steamed sweet potato and homemade apple sauce right outside the door to the box. You want to make it as easy as possible for her to eat. Make sure to replace any food that gets old or wilted with fresh green veggies/fruit.
Water - I would recommend putting a shallow bowl of water in the box with her. Her having to work at getting water out of a bottle might discourage her from drinking water. You can also make sure her veggies are wet.
Time & Patience - Remember, she's not going to want to be your cuddly bunny when you bring her home. She's probably going to be sitting hen style, in a corner and in the box for at least the first day. She might venture out to eat/drink, but I wouldn't be expecting her to move around a lot for the first couple of days. Mine started showing signs of recovery after 3 days. Hanging outside the box, using the litter box, eating and pooping normally by the 5-7 day.
Of course, all this applies to a perfect recovery from a spay, but you can run into problems and this can be the most challenging aspect of the whole processes. But one step at a time.
Hope this helps you get mentally prepared for the spay, and contact me if you need help with anything else. Best wishes.