Doctors regularly Google stuff. Their training isn't in memorizing everything, but in contextualizing data, making decisions based upon the evidence and risk, and communicating that decision to the patient in a way that the patient can understand while allowing the patient to maintain bodily autonomy.

When patients Google symptoms they have no understanding of the disease, it's prevalence in the community, it's long term effects, and it's risk profile. It's why medicine uses scientific data to make decisions but not a science itself.