Ienumerable of T, T is only available at runtime

I have a method with this signature

 public IEnumerable<T> GetAll<T>() where T : new()
        {
            // Orm Lite Version 
            return Connection.LoadSelect<T>();

        }

At compile time I don't know the Type T. I only know the class name at runtime is it possible to call this method using reflection with something like this?

string TargetTBLName = ...;//TargetTBLName get's it's value at runtime
Type ParentTableClass = Type.GetType(TargetTBLName);
IEnumerable<Type.GetType(TargetTBLName)> test = Repository.GetAll<Type.GetType(TargetTBLName)>();

Any Ideas?