new to hair coloring

Hi I am new to coloring my hair besides the at home 1 color all over type of thing. I am going to an upscale salon to acheive this look:

My question is what is this type of process called? Is it Full foil highlights? Is it highlights & lowlights? I have also heard the term color weaving? I am very confused. I want to make sure I set the appoitment the correct way to allow enough time.Does anyone know how long it will take? I am a very dark brunette. This picture is exactly what i want except I want more of the darker strands to show not the blonde strands. Also I colored my hair about 3 months ago to cover grays but just slightly lighter than my natural color. Will this affect what I want to do?

Thanks for any input!!