I'm not a teacher, and I feel a bit awkward about complicating this, but there is another way to parse "she has just got a gift." Here's an example:
The woman in question has just (that is, in the immediate past, very recently) done something which has surprised or amazed someone. The person thus surprised asks a third person, "How did she do that?" and the response is "She's just got a gift". Here "just" doe not talk about time, but could be thought of as meaning, "only" or "simply". So, "She's just got a gift" in the situation I've described would mean, "the only explanation I can give is that she has a gift(talent, or natural flair or ability)"