The process for egg retrieval is carried out under mild anesthesia, which makes it a totally safe procedure. However, discomforts may arise as a side effect of ovulation induction. Bruises in the injection area, exhaustion or leg swelling are common symptoms.
Also, surgery for egg collection is done using anesthesia so that the donor cannot feel any pain. Thus, the answer to this question is no, it is not a painful process at all.