These are instructions on how to jailbreak your iPhone 3G on the 3.0 firmware using RedSn0w for Mac. The Windows version of this tutorial is here. The iPhone 2G version of this tutorial is here

This tutorial can be used to jailbreak before applying the UltraSn0w unlock.

Step One
Create a folder on your desktop called Pwnage

Download RedSn0w from here and place it in the Pwnage folder. Likewise, download the latest 3.0 firmware from below and place it in the same folder.

3.0.0 (3G): iPhone1,2_3.0_7A341_Restore.ipsw

Extract the redsn0w application from the RedSn0w zip file to the Pwnage folder.

Step Two
Connect your iPhone to the computer and launch iTunes.

Select your iPhone from the list of devices on the left. Now hold down Option and click the Restore button. Restore is preferred as it won’t create any wasted space on your iPhone.

Navigate to the Pwnage folder on your desktop and select the firmware ipsw. Click the Open button to continue.

Step Three
Once iTunes has finished updating your iPhone to the desired firmware you may launch redsnw0w.app from the Pwnage folder on your desktop.

Step Four
Once RedSn0w opens click the Browse button

Step Five
Select the firmware ipsw we placed in the Pwnage folder on our desktop then click Open

Step Six
Once the firmware has been verified click the Next button to continue.

Step Seven
Make sure Cydia is selected and click the Next button.

Step Eight
Please plug your iPhone into the computer and make sure its OFF then click the Next button

Step Nine
RedSn0w will now guide you through the steps to get into DFU mode. You can find more help with DFU mode here

Hold down both the Home button and the Power button for 10 seconds.

Release the Power button and continue holding the Home button until RedSn0w detects the device.

Step Ten
Your iPhone will now reboot

Step Eleven
RedSn0w will then begin uploading the new RAM Disk.

Step Twelve
Once this is complete you will be notified that RedSn0w is done. Click the Finish button.
When your iPhone finishes reboot (5 minutes or so). It will be jailbroken with Cydia on the SpringBoard.