You know those big blocks of ice on the North End of the planet that have decreased by more than half their size in about fity years or so? Those big blocks of ice melt more each year, causing colder, fresh, water to seep into salty oceans, resulting in disruption of important pressure systems and sea currents, resulting in colder weather in many parts of the world, as well as verifiably higher sea levels around the globe (because of course, more liquid water in the oceans means more sea!)
Meanwhile, in areas with little or no rainfall, the overall average temperature rise of the globe (which caused those icecaps to melt to begin with) causes those parts of the Earth to have warmer weather, less rainfall throughout the year, and dryer land.
Eventually, the average temperature increase will cause all of the ice to melt, sea levels will have risen exponentially, and in what we call ''maritime climates'' (the UK, Eastern Seaboard etc) we will sea fiercer storms, higher seas and wetter, colder weather in the winter particularly, while in what we call Tropical climates, we will see fiercer storms, wetter days and hotter years, and in humid middle latitude climates we will see hotter, dryer summers and warmer, wetter winters, while in Continental climates we'll see dryer, warmer years all round, and in cold climates (like the poles) we will see significant warming compared to now.
What will happen is a global average temperature rise, resulting in a higher average global temperature, higher sea levels, generally warmer weather, and in some areas fiercely colder winters.
Basically, all that cold energy from the icecaps having melted will drift further south and effect certain areas by making them colder and wetter, while the global temperature rise will make already dry, arid climates dryer and more arid.
You should learn the difference between climate and weather.