I had a very similar fusion surgery on L4/L5 about 10 weeks ago.
Recovery from back surgery is very different from person to person, and from surgery to surgery. I had a terrible recovery about a year ago from a decompression surgery when I was barely able to walk after surgery and had to be sent home with a walker. However, this spinal fusion was a much easier recovery from the surgery pain and I was walking quite a bit the day after my surgery. I really didn't need much help from anyone else upon returning from the hospital after a 3-night stay. It's hard to say how your daughter will do until she actually goes through the experience, so the best we can tell you is to be prepared no matter what happens. I was told after this fusion that I shouldn't spend more than 30 minutes in any position, so it would probably do her good to have to get up to get a glass of water or meals, etc.
On another part of your daughter's surgery, you mentioned below that the surgeon is planning to harvest iliac bone graft. This basically means that they will be cutting some bone from her upper hip to use as a spacer for the fusion. Most surgeons are moving away from this method and instead using sterilized cadaever bone. Using her hip bone has a slightly higher fusion chance, but many patients have reported that their hip pain far surpasses their back pain for up to six months after the surgery. Also, they can cut some important tendons and muscles to get to the bone graft area. If there is time, you might want to inquire with your daughter's surgeon whether or not using cadaever bone is an option. I had cadaever bone used and am very glad I didn't have to deal with any more incisions having to be painful and heal.
Also, to disect the terms you used:
"Lurabar four-five laminectomy Discectomy, and Fusion, harvest illac bone graft, instrumentation, posterior lurabar interbody fusion with milled bone prosthesis, bone growth stimulator, and intraoperative monitoring system"
Lurabar four-five laminectomy Discectomy, and fusion - removing the disc and fusing the bone between the L4/L5 vertebrae, laminectomy meaning to remove part or all of the lamina which is the bone to toward the back of the spinal canal (needed to access the spinal cord area).
instrumentation - roRAB and screws needed to hold the two vertebrae together until fusion happens. Most people leave their hardware in permanently.
milled bone prosthesis - when they remove the disc, the space is replaced with a bone graft spacer (your own or cadaever), then the remaining space is filled with ground up bone, often left over from doing the laminectomy.
bone growth stimulator - a substance they have started adding that increased the chance for bone to grow to form a fusion
intraoperative monitoring system - this must have something to do with monitoring while the surgery is being done, perhaps the live X-ray.
Warm wishes!