When I try to download an SVG, it just displays it for me in a browser. How do I get the SVG file?

Look for a ZIP file of the SVG linked at the bottom of the lesson, and download that instead. Also, be sure you open the SVG from within your illustration software. I also recommend you review the SVGs Made Simple pre-training unit that begins here: https://jennifermaker.teachable.com/courses/cut-above-course-how-to-create-svgs-cricut-silhouette-upload-sell/lectures/3413601