The word for purple in Spanish is morado. It’s a common color term used in a variety of contexts, just like in English.
In Spanish, colors can sometimes have gendered forms. For example, if you were describing a purple dress, you would say vestido morado (where ‘vestido’ is masculine), and for a purple flower, you would say flor morada (where ‘flor’ is feminine). This gender agreement is an important feature of the Spanish language.