Assuming standard atmospheric pressure, Does the water vapour created from boiling water have the temp of 100 °C? What about water vapour created by evaporation at room temperature?
If you have an equilibrium state then the answer is "yes" the temperature of the liquid and the vapour will be the same.
In both cases you have a large volume of system to keep at the same temperature.
When you boil some water in a kettle the vapour soon loses heat to the cooler surrounding air and starts to condense back to a liquid.
That is the reason that you can see steam.