You can use most IPS commands in a non-global zone the same way you use the commands in the global zone. See Images and Boot Environments for introductory information about zones.
With regard to package installation, the global zone and non-global zones have a parent-child relationship as described in Relationship Between Global and Non-Global Zones and Updating Multiple Non-Global Zones Concurrently.
An important difference between the global zone and non-global zones is the use of package publishers as described in The System Repository and Proxy Services.