Every zodiac sign is ruled by a card of the Major Arcana in tarot. Gemini is ruled by The Lovers.
Both symbolized by two people, both Gemini and The Lovers symbolize duality. However, where Gemini is symbolized by twins, The Lovers are represented by Adam and Eve, which depicts the symbiotic relationship between a physical presence (male energy) and intuition (female energy). The card paints the scene of Adam and Eve prior to making the decision to eat the forbidden fruit from the Tree of Life.
In the traditional Rider-Waite deck, Eve (representing intuition) looks up toward the angel, we can see this as symbolic of a human looking to the divine for guidance. The wings of the angel represent the air element, which ties the card to Gemini, the first air sign of the zodiac. Gemini is naturally curious, representing the innocent quality of a child. It can be assumed that both Gemini and the Lovers share a curiosity and look to guidance, whether it’s from the divine or from a more educated authority figure.