Frameworks almost by definition tend to implement high-level patterns such as MVC or ORM patterns. These are not covered in the GOF text, although you will find them in other pattern books such as Martin Fowler's Patterns of Enterprise Application Architecture. Some GOF patterns are implemented at the framework or even language-level (like C# events/delegates as an example of the Observer pattern), but mostly GOF patterns are left to the individual developer to implement as needed, as the details tend to be application or domain-specific.
Android is the same way. It has a specific flavor of Model-View-Controller built in, but not too many GOF-specific patterns. You might consider the Activity lifecycle callbacks (onStart, onResume, etc.) as a kind of Observer pattern, although with only one dedicated subscriber.
Another example might be AsyncTask, which could be considered a species of the Command Pattern. I'll leave it to you to make the connection. It is homework after all.