Hi there and
to the forums!
I agree with Aluz, your budgie is in very bad condition and if he isn't treated, things could get much worse. It appears to be an infection that has inflamed the eye to such a degree he should really see a vet.
Although you aren't located by a board certified avian vet, I researched and found links to two clinics in Winnipeg that treat birds as "exotic" pets. Often, they will be more effective in treating and diagnosing your little one.
The last link is a list of vets that treat birds in Canada, listed by province.
Winrose Animal Hospital
Home | Small Animal & Exotics Veterinarian in Winnipeg
Please let us know how it goes at the vet! In the meantime, you can put a few drops of sterile saline solution on his eye to moisten it and rinse out any particles.
Keep us posted on his condition and we hope he feels better soon!