How to update Gnome to 3.4?

gnome installation

Gnome 3.4 will be available in the default Ubuntu repositories for the 12.10 release. Ubuntu 12.04 LTS uses many 3.4 components, but to install it in full, add the GNOME3 team's PPA to your Software Sources.

Keep in mind that Gnome is a major component of your user experience, and — in this PPA — is being maintained by a third party, not Canonical. Instability may occur.

References

  • What are PPAs and how do I use them?

I believe you are on Ubuntu, 11.10 since you have Gnome 3.2. You would have to upgrade to Ubuntu 12.04 when it is available in order to get Gnome 3.4, unless you want to use the (risky) Gnome 3 PPA.

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