Experienced at Blender
The tool you're looking for is "SubSurf". In the most recent version of Blender, you click on the object that is the character's face, and in the Mesh Editing panel (F9), look at "Modifiers". Click "Add Modifier" and choose "Subsurf". That will smooth your polygons for you by dividing each face into 4 (or 9 or 16) sub-faces that are designed to smooth the surface.
Also, she needs a low-power light under her, about where the camera is.