Is global yearly average temperature what increases. It is an average that takes into account from the coldest night of winter in the south pole to the hottest days in the sahara. You should not see it as "today's temperature + 4ºC", specially in something as complex as the global climate system.
What you will see in the day to day scale is more extreme weather, reaching new highs, changing in climate features (like some essential sea currents, like the gulf stream, and also air currents like the polar vortex) and not so friendly weather for things that implies predictability, like agriculture, because bad weather in some critical stages mean the loss of crops.
Also, the increase of temperature, the extremes that it reaches, are not evenly distributed, the highest temperature anomalies happen around the poles, where you have a lot of factors that will provide a positive feedback to increase global warming (releasing buried/frozen carbon, less albedo due to ice melting, etc)