It sounds like what your are attempting to do is solo mine, which is completely impractical unless you have racks of mining servers.
What you will want to to is join a mining pool. Here is an explanation of how one works
. You set up a user account on the pool, set up individual miner logins for your miner, and use those credentials in your mining software to connect. After you have earned Bitcoins, you can have them sent to your wallet address.
Bitcoin is completely unrelated to mining software. If you are having a problem with guiminer, one problem some users have had is that the program opens off-screen so you can't see it.
None of this matters if you don't have a high-end ATI video card to mine with - anything else is a waste of electricity.