The following are common methods you will want to call in your front end templates:
craft.navigation.nodes(nodeQuery)
#See Node Queries
craft.navigation.render(nodeQuery, options)
#See Rendering Nodes
craft.navigation.breadcrumbs()
#See Breadcrumbs
craft.navigation.getActiveNode(nodeQuery, includeChildren)
#See Rendering Nodes
craft.navigation.tree(nodeQuery)
#Returns a full tree structure of nodes as a nested array.
craft.navigation.getNavById(id)
#Returns the navigation for the provided id.
craft.navigation.getNavByHandle(handle)
#Returns the navigation for the provided handle.