According to the plate number, AG022610, it's a 1941 Singer No. 99.
There's quite a few variants of the singer 99, but if you search "Singer 99" you'll be able to find parts and manuals that are (for the most part) applicable.
One thing you'll want to familiarize yourself with is that the Motor turns the Belt, which turns the Wheel. The Wheel is hooked up to all the metal arms and gears INSIDE the machine, so the WHEEL is what moves the needle.
Note that when you sit in front of the machine (needle to the left, wheel to the right), when you pull the wheel TOWARDS you, you are making the needle and "feed dogs" (the spikey bits of metal beneath the needle) move. You can actually sew without a motor, there are hand crank attachments to do this.
Another thing to note: Almost all the holes in your machine are spots to put machine oil.
One of the first things you want to do is get sewing machine oil and put it in those holes. (note that "maybe a hole" points to a spot beneath the wheel, NOT the slot where you adjust the stitch length. mine has a hole there but yours might not...) Also take the faceplate off and oil the parts in there. They help prevent/clean rust and will smooth your machine up so the motor doesn't have to work so hard to move it. It should be oiled monthly, or weekly if you use it a lot.
Second, a lot of these singer 99's use a "knee pedal" which is harder to find. There are people who either convert them to the aforementioned hand crank, or they convert them to foot pedals.
I haven't personally looked into how to do the conversion, but I imagine you will first have to open up the wire housing to see what's going on in there. There's youtube videos of others doing this but the first step is probably unscrewing the thumb screw (safe, easy), moving the latch, and opening the wire housing cover.
Something else that is not so intuitive. The inner knob releases the wheel:
If you play with it, you'll notice it can be tightened or loosened. When tightened, the wheel moves the needle. When loose, it spins freely (this allows it to be used with the bobbin winder instead of the sewing motion). You activate the bobbin winder by pressing the little rubber foot down, and release it with the latch.
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