Hi there and
to the forums!
Your birds are adorable and yes, that is scaley face mites. If both birds live in the same cage or even the same room, both birds will need treatment, as stated above.
Scaley mites are very contagious between birds; this is why they both need treatment. While you're waiting for the vet visit, be sure to clean their cage thoroughly as well as throw out any fabric or rope toys, as the mites could burrow in there and hide. As for wooden and metal and hard plastic toys, take them out of the cage and clean them with boiling water and vinegar to disinfect them. You'll have to keep things very clean
Once your budgies have the treatment (the veterinarian should prescribe a medicine called Ivermectin, it's applied in one drop between the wings), they should start feeling better in a few weeks.
Let us know how things go!
Meanwhile, be sure to read through the forums' many budgie articles and "stickies" to ensure you're up to date on the best of budgie care practices. If you have any questions after doing so, please be sure to ask as we'd love to help.
We hope to see you around!