What's your distance? I had about a 3.5 mile ride when I was in school. When the weather got chilly I wore a fitting sweater/hoodie with a full neck zipper and some nice full finger Pearl Izumi gloves. Very comfortable. I rolled a spare tee and socks in my bag and swapped out if I was a bit too sweaty. As for bottoms, maybe stick with baggy cargo shorts with a cheap base layer underwear. Even if cold, your lower legs will be warm due to the activity. Wear nice socks they make a ton of difference. I have a skully type beanie that I wear under my helmet.

It's all about keeping your feet, hands and head warm and preventing wind from creeping in.

Get a pair of nasty mountain bike platform pedals. Wellgo provide some good options. They provide insane grip, are pretty cheap and you can wear normal street shoes while riding and around campus.

Brings back some good memories.