The difference between Ability and Gift

When used as nouns, ability means suitableness, whereas gift means something given to another voluntarily, without charge.

Gift is also verb with the meaning: to give as a gift or donation.

check bellow for the other definitions of Ability and Gift

Ability as a noun (obsolete):

Suitableness.
Ability as a noun (uncountable):

The quality or state of being able; capacity to do or of doing something; having the necessary power.

Examples:

"This phone has the ability to have its software upgraded wirelessly."

"This wood has the ability to fight off insects, fungus, and mold for a considerable time."
Ability as a noun:

The legal wherewithal to act.
Ability as a noun (now, limited to, _, Scottish, _, dialects):

Physical power.
Ability as a noun (archaic):

Financial ability.
Ability as a noun (uncountable):

A unique power of the mind; a faculty.
Ability as a noun (countable):

A skill or competence in doing; mental power; talent; aptitude.

Examples:

"They are persons of ability, who will go far in life."

"She has an uncanny ability to defuse conflict."

Gift as a noun:

Something given to another voluntarily, without charge.
Gift as a noun:

A talent or natural ability.

Examples:

"She had a gift for playing the flute."
Gift as a noun:

Something gained incidentally, without effort.
Gift as a noun:

The act, right, or power of giving or bestowing.

Examples:

"The office is in the gift of the President."