The firm will also build a day surgery unit and roof helipad as part of the new emergency services department project.
Enabling work is currently taking place at the front of the hospital to provide a new emergency and staff access road, site security office and ambulance area.
Hoarding around the site development goes up next week when a new access road on to the site opens for use by ambulances.
Building work will continue for the next year, during which time the hospital’s current emergency department will continue to operate as normal.
The current emergency department at Frimley Park was designed to manage the care of 70,000 patients per year but in 2010/11 the department saw over 100,000 patients.