Completion lymphadenectomy describes the operation that removes all the remaining lymph nodes in a regional basin where the sentinel node is positive for tumour.
Block dissection of regional lymph nodes describes the operation that removes all the lymph nodes in a regional basin where a lymph node is thought to contain tumour clinically and then proved to contain it after imaging studies and, usually, a needle biopsy and cytology.
Regional lymph node basins are situated in the arm pits, the groins and the neck. Which is/are involved is simply a function of where on the body the primary tumour was situated.
Complete lymphadenectomy & block dissection of regional lymph node basins are bigger operations. They take longer for me to do and for you to recover from. The scar that results is bigger, and the wound drains lymphatic fluid for significantly longer as a result of the much larger disruption to lymphatic drainage that results from taking out all the nodes in a particular region.