Vasectomy is the medical term meaning the procedure of male sterilization. The term literally means surgical removal of the vas deferens. In reality, only a very small piece of each of the vasa are removed.
Venipuncture is the medical term meaning surgical puncture of a vein. It's a very common medical, not surgical, procedure. It describes the procedure used to take a blood sample, typically from the antecubital (front of elbow) space.