How did Cleopatra meet Marc Antony?

We don't know for certain. Guesses are that they may have met when Marc Antony helped to restore Cleopatra's father to the throne, or that they may have met when she visited Rome. Whenever they first met, they were obviously only brief meetings, as before the big show at Tarsus, Cleopatra had to get advise on Antony's character and tastes as she knew nothing about him.
We don't know for certain. Guesses are that they may have met when Marc Antony helped to restore Cleopatra's father to the throne, or that they may have met when she visited Rome. Whenever they first met, they were obviously only brief meetings, as before the big show at Tarsus, Cleopatra had to get advise on Antony's character and tastes as she knew nothing about him.