A brewing stand can be made using a blaze rod (aquired from a blaze mob in the nether) and three blocks of cobblestone.
Next, after the brewing stand, are the bottles that will contain the potions after they are brewed. They can be crafted using three glass blocks (see below).
Water Bottles and Cauldrons
All brewing recipes require a glass bottle filled with water at the base. Bottles can be filled by simply equipping one in your hand and right clicking on water. Alternatively, cauldrons can be crafted. Cauldrons are crafted using seven iron bars and, once placed down, can hold enough water to fill three bottles fully with water. Water can only be placed in a cauldron with a bucket. Cauldrons are in general a less useful way of filling buckets than using a water source block, as the latter will not run out.
full info below from Minecraft official page
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