Simple example to installing a module package on a remote Sitecore instance. The package already exists on the server.

SPERemoting-SimpleRemoteInstall.ps1

Import-Module -Name SPE -Force

$packageName = "$($SitecorePackageFolder)\[PACKAGE].zip"

$session = New-ScriptSession -Username "admin" -Password "b" -ConnectionUri "http://remotesitecore"
Test-RemoteConnection -Session $session -Quiet
$jobId = Invoke-RemoteScript -Session $session -ScriptBlock {
    [Sitecore.Configuration.Settings+Indexing]::Enabled = $false
    Get-SearchIndex | ForEach-Object { Stop-SearchIndex -Name $_.Name }
    Import-Package -Path "$($SitecorePackageFolder)\$($using:packageName)" -InstallMode Merge -MergeMode Merge
    [Sitecore.Configuration.Settings+Indexing]::Enabled = $true
} -AsJob
Wait-RemoteScriptSession -Session $session -Id $jobId -Delay 5 -Verbose
Stop-ScriptSession -Session $session