Latin notaries (at least in Europe) have a law degree.
They may or may not have passed the bar examination. In Italy, however, they are not allowed to practice both legal professions at the same time.
To be allowed to practice the notarial profession, they must get through a very rigorous and competitive examination and, unlike the solicitors, their number is fixed by the law.
In most civil law countries, the Latin notary is compelled to avail his services to whoever asks for them, unless special impediments excuse him, and so long as the notarial document he is asked to draw is lawful.