From what you are saying, you are asking the pros and cons of having internet in a medical office and not using the internet for medical advice. But here are really the only reasons that I can think of:
Pros:
1. The internet can help people stay connected. Having internet allows the office to contact others such as other medical offices or simply customers.
2. Being connected to the internet allows the office to store/connect to public storages/databases such as a cloud which provides for organization and space int he office.
Cons:
1. The internet can be used as a distraction which would allow employees to go on the internet for personal use such as computer games or social media.
2. Being connected to the internet brings about a much larger risk of being hacked since medical offices are connected to databases which contains consumer information, it will be a target for hackers. If you look up "Medical record hacks" you will find articles explaining this problem.
This is about all the information that I can give. If there is anything else that I can do, ring me up :)