Expect the work to be quick and comparatively undramatic. Small holes are drilled through the slab, material is injected beneath it, and the concrete is raised in stages while levels are checked as it goes. Most residential jobs are finished in a day, and the surface can usually take foot traffic almost immediately and vehicles within hours rather than the week a fresh pour demands.
What levelling will not do is make an old slab look new. Existing cracks stay where they are, the patched injection holes remain faintly visible, and a slab that has broken into several moving pieces is generally past the point where lifting helps. In those cases we will tell you replacement is the better spend.
Only a site inspection will tell you for certain whether your slab is worth lifting, because the answer depends on how intact the concrete still is rather than on how far it has sunk.