As a noun:
* She made a grand gesture of sweeping her arm across the room.
* The waiter gave a polite gesture of bowing his head.
* A single gesture of kindness can make a huge difference.
* The politician's gesture of shaking hands with the protesters was seen as a sign of progress.
* The gesture of offering a cup of coffee is a common way to show hospitality.
As a verb:
* He gestured wildly with his hands as he tried to explain.
* She gestured for the children to come closer.
* The conductor gestured for the orchestra to begin.
* He gestured towards the door, indicating that it was time to leave.
* She gestured to the empty chair, inviting him to sit down.
With different meanings:
* The donation was a generous gesture of goodwill.
* The company's gesture of offering a refund was appreciated by the customer.
* His gesture of defiance was met with a stern warning.
Remember, the best way to use "gesture" in a sentence depends on the context and what you want to convey.