I have something like this, which for many years, was about 60% Instinct and 40% Intuition. Only after several spiritual experiences and openings in my 20s, it has leaned more towards Intuition. I have learnt a lot of it is from Higher Self guiding - happening mostly at the beginning with synchronicities and impossible coincidences. That period was quite chaotic and was too much for my human mind to handle. Today, it has simmered down to a gentler but sharp clarity about things and people. Someone has even mentioned that I am a natural mentalist (?), but that suggests something intentional or purposeful. For me, this is a natural way of knowing, nothing too mystical or fantastic, Truth, Delusion and other inner workings just present itself very clearly and plainly, and when it is verbalised, can tend to shock others around me. a kind of truth or observation that missed them. it is those instances which remind me that not everyone has this.
but i don't think it is a gift per se, but an inclination which can be developed with spiritual, mental clarity and meditation. this was not present in my younger days, and was transitioned with dreams and those synchronicities, which i felt were always "external". today those have lessen but this clear knowing has integrated well with me, and i find it useful in my daily life, navigating choices/decisions/outcomes and for helping others around me.
reading into people and their motives become very very easy, so there is almost a heightened sense in this regard, when i find myself in situations of danger and unfamiliarity. but the opposite is also true, when finding a spirit or light in someone that is so bright and loving, i can give full presence, love and awareness, to cultivate that energy for both of us.
as for precognition, there have only been three major instances, where i was able to prepare an individual, of job-loss, illness and danger in her decision. all three were confirmed, even without them telling me, i only learnt of it much later, but once again, no visions, just deep feeling of knowing. i do have to mention that my grandmother had similar deep intuitions as well - maybe there is someone in your family which shares this.