They do set/ become broody. How old is the goose? If she's young, it may take a while. Its really up to the goose. Your question is similar to another one posted today, https://www.backyardchickens.com/t/740470/question Congrats on your eggs!!
Yeah being that young she probably isnt going to go broody, at least not "seriously" this first time around. Mine layed around the same time, became broody for about 3 days and then stopped. (it takes about 30 days to hatch out goslings, from what I've heard). And, since she is young, there is a slim chance that the eggs are fertile (I'm assuming your gander is the same age as your goose), so for now, looks like you'll be having some delicious omelets! I wrote "probably" and "slim chance" because once in a while, young geese do pull it off, but generally not.
