No, you would actually feel lighter when standing on the Moon compared to Earth. The reason for this is that weight is determined by the gravitational force acting on an object, and the Moon has much less gravitational pull than Earth.
The Moon's gravitational acceleration is approximately 1/6th of Earth's gravity, meaning that objects on the Moon weigh about 1/6th of what they would weigh on Earth. This reduced gravitational force is due to the Moon having less mass than Earth and a smaller radius.
So, if you were to stand on the Moon, you would experience a sensation of being lighter, as if your weight has decreased significantly compared to what you're used to on Earth. This lower gravity is one of the reasons why astronauts on the Moon can leap and move with greater ease than they can on Earth.