IIS 7.5 powershell module usage issues
If you are already running PowerShell as an administrator and have Windows UAC disabled and you are still seeing this error, make sure WAS (Windows Process Activation Service) is running. You can stop W3SVC but PowerShell will definitely give the same head-scratching "access denied" error if WAS is stopped.
You need to make sure that the PowerShell window is running elevated, try right-clicking in the Start Menu and using the "Run as administrator" option to ensure it runs elevated.
Regarding Get-Website ignoring the -Name parameter, this appears to be a bug according to this forum post. The workaround is to use Get-Item
$website = "Default Web Site"Get-Item "IIS:\sites\$website"Be sure to use double quotes, variables are not expanded when single quotes are used.
Regarding browsing the application pools I suspect this is a permissions issue as CarlosAg mentioned. Make sure that you are running PowerShell with elevated privileges. I typically launch PowerShell by right-clicking on it and selecting "Run as administrator".