It is a pastiche of various styles that conjures up Spanish Colonial, MIssion (California Mission but a bit of Arts & Crafts), and old "western" as it never really existed in real life.

Yours is fairly classic as the painting is a dead give away. In some ways the paint motif resembles the classic Malibu Art Tiles which are iconic elements of California Spanish Colonial

This article explains it in a more scholarly way as my explanation is more I know it when I see it :-)

https://en.wikipedia.org/wiki/Monterey_Furniture