Laramie used to have a taxi company, but it closed down. Contact the Albany County tourism office for help in general (800) 445-5303 or (307) 745-4195. There is a bus company with a fixed route that goes from the truck stop area through to downtown once per hour. Call (307) 745-1511 for details and help on where to stand and wait for the bus to go by. This system seems oriented toward senior citizens, but anyone can used it. It costs $1-.
Besides being a major train depot for the Union Pacific Railroad, Laramie is also a major truck stop along I-80. I had the unfortunate experience of becoming stranded in the town for two days due to blizzard like conditions on I-80 both east and west of town. These are some of the images of the truck stop as I found it. The last image in this series is a photo of my own truck, which despite the bitterly cold weather remained comfortable inside. The Petro is a good stop for any motorist in need of showers, laundry, or food. The Iron Skillet restaurant is corporate in style but reasonable in prices and decent.
The University of Wyoming has shuttle buses going round the campus, but other than that you need a car to get around