I don't remember this being clarified: Is there someone overall in charge of the Jedi Council or is their way entirely democratic? Are they all equal, or are senior members more influential and privileged?
According to Wookiepedia (the Star Wars wiki) there are two designated titles outside of general council member: Grand Master and Master of the Order. While both of the titles can be occupied by the same person (including, but not limited to, Yoda) they are two separate ranks of the Jedi Order.
Grand Master was a title used in both the Old and New Jedi Orders to describe the recognized head of the Order. While separate from the title Master of the Order, which was used to describe the elected leader of the Jedi High Council, the positions were often filled by the same person
(from the Grand Master wiki).
Master of the Order was a title used to denote the elected leader of the Jedi High Council during the last decades of the Old Republic, and was also used by the New Jedi Order. Even though the title was separate from the title of Grand Master, the positions were oftentimes granted to the same individual
(from the Master of the Order wiki).