To break down the error message:
Unable to resolve service for type 'WebApplication1.Data.BloggerRepository' while attempting to activate 'WebApplication1.Controllers.BlogController'.
That is saying that your application is trying to create an instance of BlogController but it doesn't know how to create an instance of BloggerRepository to pass into the constructor.
Now look at your startup:
services.AddScoped<IBloggerRepository, BloggerRepository>();
That is saying whenever a IBloggerRepository is required, create a BloggerRepository and pass that in.
However, your controller class is asking for the concrete class BloggerRepository and the dependency injection container doesn't know what to do when asked for that directly.
I'm guessing you just made a typo, but a fairly common one. So the simple fix is to change your controller to accept something that the DI container does know how to process, in this case, the interface:
public BlogController(IBloggerRepository repository)
// ^
// Add this!
{
_repository = repository;
}