Hello and welcome to the forums!
Each phone is slightly different, but the following should work:
Firstly, plug your phone in to your computer by USB. Then you need to pull down the notification bar (at the top of the screen). There should be an option to connect as USB mass storage. Your computer (assuming it is a windows computer) should then detect your phone as if it was a USB memory stick and open up a box asking what you want to do... one of the options (the first one) should be to open using Windows Explorer. You should then be able to navigate various folders... for photos you are looking for "DCIM", "Media", "Camera" or something similar.
Hopefully this should sort you out... if not, feel free to post back in here and I will try to help you a little more!
Cheers,
D