We see reality in some sense - light of various wavelenghts reflects off physical objects and enters our eye. However, our processing and subjective interpretation of the input is what can be more subjective, because every person's brain is going to process such items differently based upon experience (especially early life experience, when our brains are the most plastic). Also, some people have sensory differences (such as color blindness) that can influence the processing of the light that enters our eye.

Objective reality exists, for some definition of "exists" - there is physical matter present, with properties enabling some or all wavelengths of light to reflect (and similar for other senses like hearing). However, if we viewed reality devoid of the subjective processing, we'd "see" everything, but key existential concepts such as object permanence would not be possible, as that requires our brain be able to process and recognize an object in order to identify what the object is in the first place, to even be able to remember what it is. Not entirely unlike the iterative process of modern machine learning.