If you want your applications to look and feel exactly like GTK applications, it’s probably better to just use GTK (via the gtk4-rs crate). However, having said that, the main issue that I personally have with the default font settings in iced is the font weight (“normal” font weight looks too thin for my taste, especially with light themes).
Additionally, you could also look up what your actual system font is and maybe also adjust the size like so:
You could also try to programmatically read (some of) these settings from your system configuration, maybe using a tool like gsettings (e.g. gsettings get org.gnome.desktop.interface font-name). If you just want to play around with iced and develop some small apps for personal use, this is a quick and dirty way.