Getting a very minor nose job that doesn't involve breaking of the bone, how long is recovery?

If your surgeon can eliminate the need for osteotomies during your rhinoplasty then that can reduce post operative swelling and bruising. But the final determination will be made by her/him at the time of your surgery.

When cartilage and bone is removed from the top of the nose, osteotomies of the nasal bones are required, otherwise  the result will create a flat top, open roof deformity. The osteotomy  only creates extra bruising, but the majority of swelling sits in the tip upwards of a year for full healing on a rhinoplasty. It's important to perform to correct and appropriate surgery, regardless of how much time off from work patients have. Look for a very experienced rhinoplasty surgeon  who has dedicated a significant portion of the practice to rhinoplasty, since it is the hardest operation to perform in the entire field of cosmetic surgery

Recovery will likely be the same except you will have less bruising if the nose does not require osteotomies. The swelling might persist for a year or more.