West Coast Jazz?

You could start with music by Art Pepper, Dave Brubeck, and others. I'd also do a google for "West Coast Jazz". Note the artists mentioned; then go to allmusic.com to read reviews of records by the artists; then do some listening on-line, at Amazon or other sites.

Good luck...

Gerry Mulligan and Chet Baker are the first two names that come to mind.

BTW, I think you're safe with anything from Baker and Mulligan. AFAIK those two only recorded West Coast style. Just AFAIK.

Stan Getz would be my favorite from that era. Start with Getz meets Mulligan in Hi-Fi. Maybe not his best album but a good intro to "West Coast Jazz" The album is from 1957

Have fun....

Wes Montgomery perhaps??