what were the goals of enlightened despots?

Answer 1

Cynic as I am I would say, their goal was to stay in power while around social consciousness was rising.
Enlightened absolutists' beliefs about royal power were often similar to those of absolute monarchs, in that many believed that they had the right to govern by birth and generally refused to grant constitutions.

Many adopted religious toleration, some form of freedom of speech and the press, and the right to hold private property. Most fostered the arts, sciences, and education.

In conclusion, the enlightened despots ruled with the intent of improving the lives of their subjects, but only in order to strengthen or reinforce their own authority.

Answer 2

Many and varied I would guess. Would depend on (a) how enlightened (b) who was the despot (c) when he/she lived (d) where he/she lived. Questions phrased like yours really cannot be answered sensibly as they are far too general.