Yes. Records from thousands of thermometers on land, from ships and buoys at sea, and now from satellites all agree: the average temperature of the Earth’s surface has risen by roughly 1.1 °C to 1.3 °C since about 1850.
Why it happens: burning coal, petrol, diesel and natural gas releases carbon dioxide into the air. Sunlight passes through carbon dioxide easily, but the heat the warm Earth sends back out is partly absorbed by it and returned downward — the gas acts like a blanket. Put more of the blanket in the air and less heat leaves, so the average temperature settles at a higher value.
One degree sounds tiny — why does it matter? Because it is an average over the whole planet and the whole year. Shifting an average shifts the extremes with it: heatwaves become longer and more frequent, the monsoon becomes more erratic, and glaciers that were in slow balance begin to lose more ice than they gain.
How do we know it is not just a hot summer? A single hot day is weather; a rise in the average that holds for more than a century is climate. And separate lines of evidence agree with the thermometers — Himalayan glaciers are retreating, sea level is rising as ocean water warms and expands, and the oceans themselves are measurably warmer.
Tip: the last chapter of this book comes back to this question in full. Notice that the answer rests on a trend measured over time, not on any one observation — that is the difference between a scientific claim and an opinion.