I also saw a spider in my flat with my roommate. We ended up getting it to leave through the door.
The coolest thing I saw in nature today was a fox when I was walking through a shortcut back to my dorm. It was grey and orange, with a streak of white. Because it was so scared, it quickly ran off.
This was the first week where we had more than one sunny day since I've been here! I saw many people wearing spring clothing and going outside to all of the tourist areas. Even the buses were packed this week!