Sounds like a drip filter with a pump. They usually have a hot plate under the glass jug to keep the coffee warm. Coffee is best when it's fresh, so I advise scaling down your quantities if necessary so you only make what you need.
Never put your unused coffee back into the water reservoir, just pour it down the drain. Anything but clean water will block the feed, and old coffee tastes horrible anyway.
If you have a kettle or other source of hot water and you want to get serious about coffee, I highly recommend buying a French press. You don't need such finely ground coffee and you don't need filter papers, but the taste is very good.
If you have a hotplate or a kitchen hob or stove top, you may also want to try a moka pot. This works by steam pressure which builds up in the lower vessel and forces liquid water up through the coffee grounds and then up into the upper vessel. Again the taste is very good, and a small moka pot is a great way to make a single mug of fresh coffee.