Yes. There is a fee for the special permit and also a fee to cover the expenses of the required public hearing. See the Planning Board fee schedule.
Helpful hint: Boarders, short-term rentals, and Bed-and-breakfasts all require a special permit. If you have any thoughts of doing more than one activity (for example bed-and-breakfast plus short-term rentals) you can request that the public hearing for the two permits be combined, thus saving you half the cost of advertising.