It all depends on your intent. After all, it's your society. The usual officers are president, vice president, secretary and treasurer. The duties for such officers can be found in standard references like Robert's Rule of Order . Whatever officers you have, your bylaws should also specify how they are to be elected and what are the terms of office.
Elections can be by mail ballot or by the members present at a specified society meeting.
Terms can be for single or multiple years. If you decide on multiple year terms, you may wish to stagger the terms so that all of the officers are not elected at the same time. Some positions with the organization are left to appointment rather than election. As chief executive of the society, the president usually appoints chairs such as librarian, programs, nominations and other standing and ad hoc committees. If you are just organizing a society, you may only wish to specify infrequent meetings, such as quarterly.