Can a general surgeon remove my gallbladder and fix my rectocele/cystocele all at the same time?

Not usually. Although these procedures can be done at the same time, it would be unusual for a general surgeon to perform cystocele or rectocele repair. More commonly these procedures would be performed by a gynecologist, urogynecologist or a urologist. Just be sure that whoever does your surgery has a lot of experience performing these types of procedures. Never hesitate to get a second opinion.
Depends. I personally know a few general surgeons who continue to " do it all". They are usually in smaller towns where politics don't dictate the scope of one's practice. In a larger medical community, you may find the combined approach: gs+gyn or gs+crs more common. If it is an elective situation, do a little home work and interview a few doctors.

Related Questions

It happens that a general surgeon remove my gallbladder and fix my rectocele/cystocele at the same time?

Usually not. A general surgeon does gall bladder surgery on a regular basis. Rectocele and cystocele surgery is usually performed by a gynecologic surgeon. At some hospitals the two surgeons can coordinate their schedule so that they can both do their respective procedures during the same anesthesia. Read more...
Not usually. Most frequently a gynecologist or urogynecologist would perform the surgery. Sometimes a female urologist. It is very important that whoever performs your surgery has a lot of experience with these types of procedures. If you are concerned then get references or second opinion. Read more...