Hi and welcome to JustAnswer! I'm Dr. Barbara, and I'll be happy to help you and Noah today.
First of all, I'm so sorry to hear that Noah isn't feeling well today. Unless you add anything to your toilet bowl water, it shouldn't be from his drinking from the toilet bowl.
Nausea and vomiting can be due to many different problems, both within the digestive track, but also from such things as liver disease, kidney disease and pancreatitis. Within the digestive track we would consider stuck foreign bodies, garbage eating, and infections. Because Noah is so young the first concern would be parvo virus. Has Noah been vaccinated against parvo virus (this is in the regular puppy shots), and if so when were his shots. . .how old was he?
When a dog is vomiting, the best thing is to offer no food and just a little bit of water. If this doesn't stimulate any more vomiting withing an hour you could offer him a small amount of water again. For a 9 month old lab I'd give about 1/8 cup each time. Expand the amount and decrease the time in between these drinks of water if he doesn't vomit further. I'd offer him nothing to eat until tomorrow AM, and do use the chicken and rice. . .again about 1/8 cup at first and wait one hour. If any of this causes vomiting, then he really should be seen so that he can be supported with fluids while a diagnosis is found.
Again, though, when was Noah vaccinated. . .please list all of his vaccinations. Thanks so much!