This has stupid idea written all over it. First hillwalking experience and you pick the second tallest hill in the UK during the start of winter in the area that receives the first snowfalls each year around October and have no equipment or skill...
I am sorry to be as blunt as that, but I would never venture out into the hills without the basic equipment and that includes during summer. Ok, some days you know you wont need everything and can pack light, but the weather in the Cairngorms turns just like that.
Your best bet is to start low - find a nice Sub-2000 or Graham and work your way up from there, but please, buy yourself some basic equipment like a rucksack and good shoes.
The more experience you get, the more you will know what you can do and what you need to do it. Learn to read maps too, it helps when things go wrong...
This area is avalanche prone too, so if you do climb the hills without anything and something goes wrong then the best result will be getting picked up by MRT or the Helicopter where you will get an ear-bashing if you are under-equipped, or worse - Death. I've seen people being airlifted off Bennachie and Arthurs Seat, both Sub-2000's and quite easy to walk, but dangerous if you don't have your wits about you.
Start small and in better weather and build up from there. Always put your safety first. As Fife Flyer says, the hills will be there for another day.