Can I use a mouse on a Mac Pro?

sure you can, get a nice magic mouse or another USB mouse

(psst: try the magic mouse, its very nice) 😊

http://www.apple.com/magicmouse/

Yes. Logitech wireless using 2.4 GHz has a "preferences" package that adds trackpad capabilty to mouse clicks. logitech.com is the source for that package.

But if you use it, your wireless network should be the 5 GHz network to avoid conflict with the 2.4 GHz mouse ... something will win the battle and it will not be pretty.