Output capacitor in LDO regulator
The evaluation board is for a very sensitive circuit, that needs an extremely clean power source.

The additional components form a low pass filter at the output of the regulator.

The inductor and the capacitor make a low pass filter with a cutoff frequency around 15kHz.  

The small resistor is probably there because the ADP7104 probably requires that the output capacitor have a small amount of series resistance to keep it from oscillating - many parts that were designed before low equivalent series resistance (ESR) ceramic capacitors depended on the innate resistance of the capacitor.  I can't say for sure, though, since my phone has a problem downloading the ADP7104 datasheet.

The resistor may also be there to reduce oscillation (more correctly, "ringing") in the LC circuit.

EDIT
Finally got to look at the datasheet.  As @Hearth mentioned in the comments, the ADP7104 is made for use with low ESR ceramic capacitors.  That makes it much more likely that the series resistor is there to reduce ringing in the filter.

In any case, you can follow the recommendation in the ADP7104 datasheet and go with just the 1uF capacitor - unless you know for certain that you need the extra filtering as used on the PLL evaluation board you were looking at.