There are many ways to annotate PDFs on Surface tablets, like Foxit MobilePDF or Drawboard apps – for example, but did you know that you can also do it with the OneNote App?
In the OneNote App you can markup, highlight and tag the PDF document and it will be automatically saved to your OneNote Notebook. You can then print it, use it in a presentation, or share it via email and other apps.
Here is how annotate a PDF with OneNote App on your Surface: