will this work on the lattepanda?

Two things to note: 1) this screen isn't really usable in landscape mode: the off-axis viewing is so bad in that orientation that each eye will see very different colors, making it visually distracting. In portrait mode it looks fine and the off-axis viewing is fine. And 2) the INT interrupt pin for the touch pad either doesn't work or is outputting too low a voltage to detect with a 3.3V GPIO pin without additional circuitry. (There are some threads posted online about this -- the GT911 chip needs particular configuration to output a "normal" logic level on the interrupt pin -- not sure if that was done on this board.) The touch screen works fine, you just have to poll it.

Hi - What libraries are recommended for using this with an ESP32? I find the LovyanGFX... would that work? (It says it supports ILI9488 but I don't know if that suffices?) Are there other compatible libraries? What about some with UX widgets and convenience functions to interoperate with the touch screen?

yes it should but it would be though the gpio pins and not hdmi