Question: Will we hear other guests through our walls?
Answer: You shouldn't, although many B&Bs are located in converted old homes and other historic properties so the walls are not always going to be as thick as necessary to ensure a completely quiet night.
That said, most bed and breakfasts guests are very respectful of other guests. In all of the times that we have stayed and bed and breakfasts, my husband and I have never had a problem with "noisy neighbors."