How to access my phone with a burned out screen?

[AC Question]

So my Galaxy s5's screen has burned out and its totally black but when I turn it on I can still feel the vibration and see the light turn blue at first then white because i'm still getting messages on twitter. I used my sister's phone as a guide to open my phone (she has the same phone and tried to use it to see when the keyboard letters were at) and I can feel it vibrate. I plugged it to my laptop and tried to import my pictures but it said there are files in my phone and I have priceless pictures of my family and want to transfer them on my new phone. Please help me out.