I have a commercial Java application which I will be distributing.
I want to use an LGPL'd java library. I wont be modifying the library. Does the LGPL license of that library have any impact on my application's license?
Yes, it does to a certain degree. You are e.g required to allow people to upgrade the LGPL'd library without your help. I suggest reading through the whole license yourself, as you're legally obligated to adhere to it's clauses. Know what you oblige yourself to, don't just take other people's words for it :)