Based on the many SO questions related to this, it seems System.Drawing.Common is not supported in Azure App Service or Funtion Apps.
However, the IronPDF documentation suggests that it should work anywhere on Azure unless SVG graphics is being rendered in which case they suggest using containers.
So my question is, if the HTML that I'm converting to PDF doesn't have any SVG graphics will it work in an S1 Tier App Service or a function app?
References:
Azure Function gives error: System.Drawing is not supported on this platform
https://github.com/projectkudu/kudu/wiki/Azure-Web-App-sandbox#win32ksys-user32gdi32-restrictions

Sharing an answer to the same issue as reported by the poster:
Older Azure Functions using IronPDF may report this issue due to a lack of GDI+ / System.Drawing.Common support:
As of 2021 you can switch your Azure Function to v3.
For more information on how to Run HTML to PDF on Azure please see the linked tutorial.