Hi Patricia,
As you probably know, the verb vado (andare) can be followed by 3 prepositions: a, in, da.
In your exemple the preposition is DA becouse dottore is a person.
The rule is that when "andare" is going to a person, the preposition is always DA (with or without article, depending on the case)
Esempi:
vado da Mario, vado da Giuseppe, vado da un mio amico, vado dal parrucchiere, vado da mamma, vado da mio zio, vado da tua sorella...
ok? :)