First let me say this works best for a simple repetitive design. I needed it for the 1 layer surface mount display boards which used a simple layout repeated multiple times.
Starting in the board layout window draw a component. For me it is the large LED. I used the rectangle tool to draw the pads in the TOP layer and the line tool to draw the chip indications in the TPLACE layer.
Next I copied it around to form my 4 LED pixel.
This part is a little tricky. I laid down the traces without any nets for guidance. Use the line tool to mark where you want the copper to stay.
Repeat until the pixel block is complete. Copy pixel block to form half column block. Add connection pads to bottom and connect pixels.
Figure 4 : Rotated Left for better fit
Copy this around to form full display.
Success! Eagle cad will gladly let you make this board and export to PDF or gerber. Side note, each line you draw counts as a new net so DRC will still work.