How long to wait before drinking cider depends on many factors, including what kind of apples you started with, how much sugar was added, what yeast was used and what the fermentation temperature was. Add to that the fact that everyone has different taste preferences and so what I might like may not be suitable at all to you. When the cider stops fermenting, leave is alone for a week or two and then taste it. If it tastes good to you, go ahead and drink it.
If it has a "hot"or strong alcoholic note, you may want to let it age a while.
Cider doesn't need to be carbonated, you can drink it as it is.
Beer can be ready to drink in 10 days, but cider generally takes longer.