True or false atoms with low ionization energy give up their valence electrons with ease

This statement is TRUE.

The ionization energy presents the amount of energy required for the release of the valence electron, the electron farthest from the core. The smaller the amount of energy needed for the release is, the lower the ionization energy is.
Therefore, the atoms with low ionization require little energy to release their valence electrons and they do it easier that the atoms with high ionization energy.

Yes it would be a physical change.