What do you call an office separated into individual spaces?

It is an open space with cubicle setting:

• Тhe cubicle is a partially enclosed workspace in an office which is separated from neighboring workspaces by partitions that are usually 5–6 feet (1.5–1.8 m) tall.

• Its purpose is to isolate office workers and managers from the sights and noises of an open workspace so that they may concentrate with fewer distractions.

• Cubicles are composed of modular elements such as walls, work surfaces, overhead bins, drawers, and shelving, which can be configured depending on the user's needs.

(Wikipedia)

A slightly different take than Mike's

Cubalcatraz (or Cubicaltraz as UD has it).

Cubicaltraz is a reference to the prizon like atmosphere that pervades the business office and cubicalvilles everywhere. A combination of Alcatraz and cubical.

Urban Dictionary "cubicaltraz"

Also consider deskicle

Meaning : n. A half-desk, half cubicle workspace designed to foster a collaborative environment and remove privacy via atypically lower walls. Commonly appear in groups.

Example : He was walking by my deskicle and totally caught me slacking.

AZdictionary "deskicle".

This looks like an attractive Open Plan office, enhanced as it is with a plant and lots of natural light.