Your tree would have been easier to identify when it had more leaves and your pictures blur when I click on them to enlarge.
But I THINK I see the distinctive notched leaf ends of the Fukien tea, aka Carmona. See what you think:
https://indianabonsai.com/tag/fukien-tea/
It's been -3 deg C (27 deg F) outside, I presume, but your tree is inside, right? What temp do you keep inside? Have you given the tree any supplemental light to make up for very few hours of daylight? It needs at least four to six hours of daylight, more is better.
Lighting for bonsai (or any houseplant) needs to be a dedicated lamp, directly over it from just a few inches away, on for 16 hours a day:
https://www.bonsaimary.com/growing-bonsa ... doors.html
doesn't need to be any fancy grow light, just a fluorescent bulb or tube. NOT old style incandescent, which give off too much heat and will burn your tree when close enough to do any good.
And yes, as frequently seems to happen, you were given very bad instructions about watering. NEVER water bonsai on a schedule. Water them when they need it, which is variable amounts of time, depending on temperature, light hours, soil, how rapidly it is growing, etc.
Here's a couple threads about how to water your bonsai and general care:
https://www.helpfulgardener.com/bonsai/03/care.html
https://www.helpfulgardener.com/forum/vi ... =36&t=1479
Use the chopstick method to know how wet/dry your soil is and don't water again until it is starting to dry out a bit.
And the soil it is in is very bad for it. Heavy in peat moss, holds too much water, excludes air, packs down. and here's a couple about how to water your bonsai and general care:
You will need to repot it in to good bonsai soil. Repotting is generally done in the spring, but your tree is not likely to survive until spring at this rate. I would go ahead and do it anyway. Here's an article about bonsai soil:
https://www.helpfulgardener.com/bonsai/03/soil.html
Do NOT fertilize your tree at least until it starts to show new growth, preferably not until spring. At this point fertilizer is just another stress on it.
Best Wishes and keep us posted about how your little tree does.