That Platinum (not thermistor) sensor only changes by 38.5 ohms between 0C and 100C, thus the divider output voltage obviously changes very little. If you want 0V to 5V output over that range, then you will need to use an op amp to offset and amplify the signal.
But why are you listing a platinum sensor when the circuit diagram shows a thermistor? Platinum sensors are generally only used if you need very high accuracy and/or linearity, since they tend to be expensive and have a very small change with temperature. Otherwise there are many other types of temp sensors, including dedicated ICs, that give a much larger voltage or resistance change with temperature, and are thus easier to interface to a micro.