Climate refers to the average weather patterns in a region over a long period of time. Biome, on the other hand, is a set of biological communities defined by similar vegetation that is influenced by the climate and geography of a region. There are various types of climate such as dry, temperate, polar, continental, and tropical. Not all countries experience all of the climates as the climate you are experience is based on the region your country is part of.
A tropical country has and will never experience a polar climate and vice versa. Biome also has a classification and they are desert, tundra, marine, freshwater, forest, and grassland biome. Plant and animal species are different depending on the biome they are at. An example is a polar bear will never live and survive in the desert biome as it has thick fur that is not perfect in a very hot and dry place.