You would still have the same age, gender, personality, skin color, etc. and you would be able to speak at least one local language and would know basic information of the era and place. Your family, social standing, and such would be randomly picked.
Athens might be somewhat nice if you just aren’t a slave, metic, or woman.
For the first two groups, public displays of intelligence suffices as a way to get a more comfortable life. For the last, tough luck - better try traveling to the future instead.