The Geneious PAUP* plugin (http://www.geneious.com/plugins/paup-star-plugin) provides an interface for running PAUP* but you must obtain your own copy of the PAUP* program.
The plugin works with commercial releases of PAUP* up to and including version PAUP* 4.0b10†, which used to be available from Sinnauer Associates. It also works with the latest alpha "test version" command line binaries, available from http://phylosolutions.com/paup-test/. You must be using latest version (PAUP*4.0a166 as of Oct 2019) with Geneious PAUP* plugin version 1.3.1 or above.
† Note that PAUP* 4.0b10 is a 32-bit executable and is not supported on MacOS Catalina (10.15).