I'm currently trying to figure out how someone has laid out their blender; how would I make my geometry nodes look like the picture below(If they're even geometry nodes..)? - I'm new to blender.
They're not geometry nodes. You can tell from the upper left corner that he's in the Shader editor in that window. But if you want Geometry nodes you can modify the standard layout to look like this fairly easily:
Move the mouse over the border between the 3D viewport and the Outliner until the cursor turns into a two headed arrow.
Right click and select "Vertical Split"
A thin line appears. Move it somewhere in the 3D viewport and left click.
Now you have two windows side by side both with the 3d viewport. go to the top menu of the one on the right and click the left most icon. Select "Geometry Node Editor" from the popupu menu:
You may want to look at the manual's User Interface Introduction for more details.