You would do best reading some of the posted stories on this site from patients describing their courses.
I am not sure what you mean by minimum incision--axillary incision or "short" longitudinal incision, but the amount of discomfort is modest compared with a full arm lift. Typically, it is not too bad at rest, but moving the arms will cause some symptoms, all of which gradually resolve at a pace which is unique to each patient.
Your surgeon who knows what precisely is planned would be your best resource for this question.
Thanks, and best wishes.