As long as your in fermenter volume is correct, and (as already mentioned) you didn't do anything off script, the OG should be where the recipe says. IF You end up with more, or less, volume in the fermenter, then shake the living hell out of it (assuming you didn't do a full batch boil) to get the wort fully mixed, and then reserve a sample in a sanitized jar. Once you get your new hydrometer, get the OG reading.
I would advise getting a refractometer for use on brew-day. You don't need to worry about it braking and you use far less wort for the sample.
I wouldn't use the small sample to take 'periodic SG measurements' since it won't be what the main batch is doing. IMO, on the home brew scale, it's useless (or worse). Depending on what you're making, leave it in primary for the full amount of time (review the no secondary model that many of us follow) and then pull a sample for testing. Drink the sample after you've taken the SG (and recorded it). If it tastes good, then wait another 2-3 days and repeat. IF there's zero SG movement, that should be the FG. But, if it has any off flavors, don't bottle it. Leave it in longer. There's very few off flavors that more time won't cure (didn't say none, since you can have some that are beyond repair no matter how long you give it).
Also, before you post up asking, fermentation can take up to 72 hours to show. But, just because it's been that long, or longer, and you don't see airlock movements, doesn't mean squat. If you don't have a tight seal on the fermenter, CO2 can be leaking out in places other than the airlock. Especially if you're using a bucket fermenter. If you're using a carboy, then as long as you got the bung into it's hole properly, the airlock will do it's job and vent excess CO2.
Eventually, you'll get to the point where you don't need to see things going on inside the fermenter. And you know that fermentation is going through signs other than the airlock. Such as the wort's temperature has increased since you pitched the yeast.
BTW, welcome to the obsession... Now, what did you brew and what's your next batch going to be? If you don't have another primary, time to order one already. :rockin: