I can't recall offhand, but if that were true, it would be more akin to an oligarchy (rule by the few) rather than democracy (rule by the many).
Quick check on Wikipedia yielded this -
It is argued that Socrates believed "ideals belong in a world only the wise man can understand",[81] making the philosopher the only type of person suitable to govern others. In Plato's dialogue the Republic, Socrates openly objected to the democracy that ran Athens during his adult life. It was not only Athenian democracy: Socrates found short of ideal any government that did not conform to his presentation of a perfect regime led by philosophers, and Athenian government was far from that.
But there seems to be quite a bit of confusion of the subject, and some argue he supported a democratic structure - at the very least as more legitimate than the short reign of the thirty tyrants that existed during his life.
Didn't he advocate some sort of "political class" which was picked from very young for their talents and live seperatly to decide or something?
Been a few decades since I last read his writings.