“Ghughu” (or similar spellings) is a family/surname used by some Jains, but:

• It is not a standard indicator of sect.
• A person with surname “Ghughu Jain” can be Digambar or Shwetambar – it depends on the family tradition, not on the surname itself.
• In Jainism, surnames, gotras, or caste‑type names are social identity, not religious proof of Digambar or Shwetambar.

To know whether a particular Ghughu Jain family is Digambar or Shwetambar, you have to see:

• Which type of derasar/mandir they go to
• Their family achar (practices), puja style, monks they follow, etc.

For a simple explanation of Digambar–Shwetambar differences, you can read more here