pg_dump, pg_restore and template relationships

I'm moving a PostgreSQL cluster from one server to another, and in the
process also moving from 7.4 to 8.1. On the home server I have a
template database called template_postgis that I used to create a
couple other databases.  According to the PostgreSQL docs, changes made
to a template will be effected on databases created from that
template.  I'm curious how, if at all, this relationship is maintained
through a pg_dump and pg_restore?  In particular, let's say I have
template "A" and I create database "B" from it.  If I want to dump "B"
and restore it elsewhere, will the dump of "B" include all of the
functions / types that it inherits from "A", or for to maintain
functionality do I need to dump and restore "A" first, then "B"
afterwards?

I've looked through the docs on pg_dump and pg_restore but I wasn't
able to find the answers to this.

Thank you,
Mark