You need yarn and a crochet hook. You can buy a large hook with textured yarn or a smaller one with fine yarn. Usually, you will need 2-3 skeins depending on how long you make it. The easiest way to learn is to do the single crochet stitch.
Crocheting scarves are easy. Create a chain of the desired length of the scarf, then turn it around and keep crocheting each row until you have reached your desired length.