I am totally new to beekeeping, and so there for if anyone contradicts my understanding, or says something else, by all means take what they say over what I am saying....but it is my understanding that you didn't give enough information to answer really correctly.
To answer correctly it depends on what type of setup you did to start with I believe (type of hive/etc.). on a typical hive with for instance clean foundation, things will progress differently then if you put in already drawn and cleaned comb or no foundation or anything at all.
On a installation with foundation, typically your bees will start to draw and get organized within a week, but definitely within 14 days you should see eggs and larva. the eggs are really difficult to see sometimes if you do not know what to look for. some have said look for a grain of rice, but honestly they are smaller than that by far. It is always a good idea to find your queen and know she is there. some times a queen does not take, and she'll just take off, or sometimes people will roll her or kill her. If you see eggs or larva then you know she is there though. I do not think people should mess with their hives the first week hardly at all, the method I like for installing a new package for a small beek is, the standard dump the bees in, remove the stopper if there is one on the queen cage, put in some candy, a marshmellow, fondant/etc. stick a rubber band around a frame with foundation and put the queen cage in the middle with the screen part facing up and down (this I believe helps the queen with the pheromones/etc get the other bees used to it, and herself as well as they free her. if you have predrawn clean comb it helps them get setup faster, and she can start laying when she feels like it (presuming you have a mated queen.)....but by day 14 your hive should be visibly active and going, there should be visible larva curled up nice and cozy in a good laying pattern, and plenty of pollen and food stores, if it is this time of year (time of year does of course also make a difference as well as the flowers in your area and gardening zone.) and that also determines I think how much you need to feed them too. a new hive in january Michigan is different then one that is in texas or georgia. anyways, I'm not even close to a expert, but hope it helps.
Remember bees do survive fine on their own in your state more then likely too... they should be ok.