Java override abstract generic method

It's not really clear what you're trying to do, but perhaps you just need to make Event itself generic:

public abstract class Event<T, V>
{
    public abstract V doEventStuff(T args);
}

public class A extends Event<String, String>
{
    @Override public String doEventStuff(String str)
    {
        ...
    }
}

You're using generics but you are not providing a binding.

public abstract class Event<I, O> { // <-- I is input O is Output
  public abstract O doEventStuff(I args);
}

public class A extends Event<String, String> { // <-- binding in the impl.
  @Override
    public String doEventStuff(String str) {
  }
}

Or simpler with only one generic binding...

public abstract class Event<T> { // <-- only one provided
  public abstract T doEventStuff(T args);
}

public class A extends Event<String> { // <-- binding the impl.

  @Override
    public String doEventStuff(String str) {
  }
}