Once here, go to the northern end of town and into the large mansion. Examine the northwestern pot for the Ether . Go into the shops and upgrade your stuff, particularly the weapons for Cyan, Sabin, and Shadow. Armor-wise, the White Dress is a must for Terra and Celes; the Ninja Gear is another considerable option.
Little else to do here, other than learn that what we can suppose is Terra (or the flying white cat mentioned back in Figaro) heading north to the mountains where Zozo is. Cool. Return to the overworld after a rest at the Inn.