First, does you vet see pigs frequently? If not, he may not be very familiar with what to look for. You should ask.
Second, it's NOT normal for the GPs eyes to be watery and crusty. They should be clear, and healty looking.
What kind of bedding are you using, that could well be the culprit?! If it is cedar you should get it out of there IMMEDIATELY!!! Reply with the bedding material and we may be able to help you further with the "is it the bedding" question.
It's rough starting out with a new pig, but you found a great source of information with this site. Keep posting, and we will help as much as possible.
You might also try
https://www.guinealynx.com
Best of luck,
Marie