Longtan's main attraction is the "Tourist pond", a former irrigation pond that the city built a temple island in and surrounded with trees. It is quite a nice spot to people watch, grab a coffee or beer, and relax.
Also worth seeing is the "Crazy House" near the bus depot. There are a 1001 stories about it and its history, but they all involve love won and lost, life blessed and lives destroyed. It was to be a decidedly eccentric mansion, but was stopped 90% through and abandoned. It is officially off-limits, but apparently is structurally sound for the most part. Don't visit to see it, but see it if you visit.
The day market. Nothing special, but the place to pick up food for a walking excursion. Best from 10-2.