My wife recently learned she is pregnant and she is not on medical aid we are willing to pay cash how often is she expected to visit gynecologist?

Country differences. You would have to check with a obstetrician/gynecologist in your country as different countries have different expectations.
Pregnancy visits. Congrats! Generally speaking, visit to the obstetrician would be more frequent during the first trimester and less frequent during the second and third. All visits our important to assure a healthy pregnancy. You should also buy prenatal vitamins.