You wouldn't go wrong wearing light-weight golf shoes. If you are following the crowd, you might be climbing slick banks and those spikes can be a blessing.
And like any outdoor activity, dress in layers depending on the heat. Wear a small hat - one to keep the sun off your head, but one that won't interfere with other spectators vision.
No jangly jewelery. Both noise and flashing reflections can bother the golfers. (They have rabbit ears, believe me!)