How can I recover data without the screen?

On my old G5, the screen started flickering in horizontal lines, then a black area used up some of the screen (with more flickering), then after a week it went totally black.

So I bought a G8 Plus, and I don't want to spend money on the G5 but I want my data off it. It has the built-in memory plus a TF card, merged together and acting as a single drive.