First...get rid of towels and washcloths because it's highly contagious! Use only disposable towels because there's a chance you could get it too.

While I recommend going to the doctor to get antibiotic eyedrops, this is what my mom used to use:

Mix 2 tsp. chamomile flowers.
1 tsp. Oregon grape root.
2 cups of boiling water.
Let it sit for 20 minutes, cool, strain and use an eyewash.

or...

You can use a lotion made out of Vitamin A and apply it directly.

or...

If the eye is swollen, peel a potato and cut it in thin slices place them on eyes affected by conjunctivitis.

I've also heard that dabbing it with pee does wonders too. Never tried it though.