Today, Gainesville got most of its rain in the late morning and early afternoon, but things improved as the day and evening wore on.
A stalled out trough and front over the southeast will continue to linger on Tuesday and will pump in moisture into the area. "Upper level impulses" will aid in the development of thunderstorms according to NWS-JAX's latest discussion. This random impulses will make forecasting specific timing of rain and storms will make predictions difficult. Also, severe weather risk will depend on the time of day of thunderstorm initiation (daytime heating helps). NAM guidance shows more rainfall near the area come Tuesday evening.
In other words, rain chances are good, but the timing of the rainfall is the $50,000 question.
For tonight, mostly cloudy skies with a stray shower possible and a low near 74. Tuesday, partly cloudy with a good chance of showers and storms. Expect a high near 86.