PDF to SVG

A PDF page's content is a stream of low-level vector drawing instructions, embedded fonts, and images — translating that faithfully into SVG's own markup format requires a real PDF content-stream interpreter (the same category of engine a PDF renderer uses), well beyond what this browser-only tool implements.

Inkscape (free, offline) can open a PDF page and export it as SVG directly; Adobe Acrobat and Adobe Illustrator also handle this well for design work.

As a quick reference pointing you to the right tool for the job, rather than a fake converter that returns broken or missing vector paths.