Proving that a grammar is LR(1)

Hey /prog/, I was wondering if somebody could help me with this. I need to prove that the following grammar is an LR(1) grammar:

S -> aSb | ^ (note ^ = empty string)

I'm having trouble figuring out how exactly I go about proving this. I think I would need to show that I only need to peak one character ahead of the handle, but I'm not aware of what that would entail.

Thanks in advance for any help

Whenever I would get stuck in university, I would read the textbook.

Seriously, the textbooks will explain everything. Students these days, thinking they can get a free ride and take shortcuts.