$ magick -version
Version: ImageMagick 7.1.1-33 Q16-HDRI x64 057259c:20240525 https://imagemagick.org
Copyright: (C) 1999 ImageMagick Studio LLC
License: https://imagemagick.org/script/license.php
Features: Channel-masks(64-bit) Cipher DPC HDRI Modules OpenCL OpenMP(2.0)
Delegates (built-in): bzlib cairo flif freetype gslib heic jng jp2 jpeg jxl lcms lqr lzma openexr pangocairo png ps raqm raw rsvg tiff webp xml zip zlib
Compiler: Visual Studio 2022 (193933523)
$ magick -density 300 garage.pdf[1] garage.gif
$ magick -density 300 garage.pdf[1] garage.png

I convert the first page of garage.pdf to gif and png, and compare the results. The gif quality is rough, especially on the text, but png quality is good.

To compare, I also tried to convert the same pdf file to gif with PDF-XChange Viewer, the quality is also good. So I believe gif is able to display high quality text.

How do I improve text quality in gif?

For testing, this is MWE in Latex.

documentclass[tikz]{standalone}

begin{document}

begin{tikzpicture}
node at (0,0) {Starting stop};
end{tikzpicture}

end{document}