I would just enjoy your child and not put pressure on them or you. Just take their lead, let them pursue their passions and enjoy them.
I am always wary about labelling children as G and T. My sibling was much as you describe yours - advanced academically and socially, mature for their age, independent, played an instrument and fluent in a second language. Appeared very happy and settled at 4/5/6 and enjoyed the adulation of being perceived as a genius and apart from their ordinary siblings.
By 8/9, they were misbehaving and it was put down to their untested intelligence and boredom. A series of scholarships and private education followed, which resulted in instability for my sibling and further alienation with me and other siblings.
Ultimately, it ended up falling apart, my sibling did not complete their education and there were additiction issues. The resulting impact between the siblings has never fully resolved.
My parents were well meaning, but their pride and ambitions for their intelligent child impacted on their stability, emotional development and place in the family. They would have been much better to leave her where she was and find other solutions to her poor behaviour at that time.
Don’t make your child stand out. If they are bright, curious and enjoy learning, they will find their own way. You can teach them to find ways to challenge themselves or overcome boredom.