There are two easy ways of transferring your photos from your android phone to your desktop or pc.
Your phone might have came with a USB cable. All you have to do is, connect your phone using the USB cable and connect to your PC. Your pc will automatically detect photos on your phone and launch the appropriate application on the desktop.
Another way to do is, install google+ app on your android phone and enable instant upload on your google+ app. Whenever you take a picture using your android phone it'll be automatically transferred to your google+ photos under photos from your phone. Then you can download those photos from there to your PC or any devices or machine you want.