Okay, egg sitting 101.

Click the picture of the egg. You should see an enlarged image of the egg, along with a line of text and four buttons.
If the egg is Cold, warm it
If Warm, cool it
If Restless, turn it
If Dull, polish it

Do that for like three days or so and it will hatch.

Thanks

And when it is ready to hatch, there will be an image similar to the egg in the upper right corner. Go to the eggs page and it will give you options to
Help break egg - will increase health
Let egg hatch - will increase a stat
Use selected filter - will increase specific stat
Your egg will hatch when the bar near the bottom of it's page reaches 74.

Apologies for me being slightly picky, but this isn't the forum for that - there's a Q&A forum a bit higher up in the Forums page where you can go to ask questions like this and get answers from experienced players, probably quicker than you can here.

Just ping Krin and ask