See explanation section
One of the most popular and visible illustrations of the effect of temperature change on water is the 'Heating Curve'. The following figure shows temperature change as a function of heating (or cooling) a specific quantity of water.
The diagram shows 5 specific regions of interest relating to the effect of heating and temperature change. Starting with a quantity of ice (solid) from left to right one should notice
1. warming of solid ice (single phase => solid)
2. melting of ice (2 phases in contact => solid/liquid)
3. warming of liquid water (single phase => liquid)
4. evaporating of liquid water (2 phases in contact => liquid/gas)
5. warming of vapor (steam) => (single phase => gas)
For your question, what happens to liquid water with continued heating, if the water is in liquid phase continued heating will increase temperature up to but not above the boiling point of the water at conditions specified. During the boiling process, water is undergoing a phase transition from liquid to gas and the continued input of energy is going exclusively to this phase change but in doing so there will be no change in temperature until all of the water is in gas phase.
Hope this helps.