It always happens. When I give a talk or teach a class, people want links to check out. So in lieu of telling people, “I'll email it to you!” I've chosen to set up this page of UX-related things you need to check out.
The links below will take you to Amazon, and I'm an affiliate. But I encourage you to check your local library, independent bookstore, or the publisher's site as well.
Skills you will likely need
Presentation/public speaking (even in small doses)
Critiquing and providing feedback
Analysis and synthesis of qualitative & quantitative data
Drawing, sketching, conveying ideas visually
Tools you may use
These aren't hard and fast rules. You don't have to code; you do have to know the medium you're working in.
Something to make flows, prototypes, wireframes: OmniGraffle, InVision, Axure RP, Keynote, Photoshop, Sketch.
Something to present: Keynote, PowerPoint, Paper (for iPad)
Something to write with: Word, Pages, TextWrangler/BBEdit
Something to code with, if that's your thing
Something to draw with: Sketch, Photoshop, Illustrator, InDesign (maybe)