How do I know if a monster will attack me on sight?

Solution 1:

Additionally to Indigens that attack on sight, there are also those who attack when you get too close; those have a lightning bolt symbol instead of an eye one. Many Indigens have both symbols.

Solution 2:

To follow on from Nolonar the lightning symbol actually means "auditory type" where they will attack on sound instead of sight. Chapter 11 page 2 of the in game manual.

Solution 3:

Some monsters have a red eye shape next to their level. This means that if you are in their line of sight they will attack and you will "Flinch."