There are GPs and you pay as you visit between 10/20 pounds and you can buy medication over the counter. It is also easier to see a specialist of your choice as you are paying. It is worth looking into medical insurance and there is a general health scheme if you are employed and paying social insurance

If you search 'Anglo info cyprus' you get a good site for general information but a good option over here is word of mouth but talk to lots of people as everyone has a different experience and go with what feels right for you