Temperature is a physical quantity and hence, measurable. In fact in SI system, temperature is a fundamental physical quantity.
By our bodily sensation, we can say which object is hot and which is cold. But such a decision about temperature is not reliable. For example, place your right hand in hot water and left hand in cold water. After a few minutes, place both of your hands in water at room temperature. Now the same water appears cold for right hand and hot for left hand.
Measurement of temperature is a very important factor in various scientific experiments. The science of measurement of temperature is known as thermometry. The devices used to measure temperatures are known as thermometers.