They are not quite the same, actually... MVVM implies databindings between the view and the viewmodel, which means, in practice, the view objects mostly are the ones commanding the viewmodel. MVVM seems to me a simplification of MVC, to show the model "as is" behind the scenes. For example, Xamarin largely uses MVVM and the controls on the screen like checkboxes, textinputs, etc, all do modify the modelview behind the scenes.
You may already starting to see a problem here: if you change the UI you may have to change the MV as well. Suppose you have an entry number that must be between 0-255, where do you put this logic? Well, on MVVM you put this logic on the view. But you must put these locks on the modelview as well to guarantee data safety. That means a lot of code rewriting to do the same thing. If you decide to change this range, you have to change in two places, which makes your code more prone to errors. Disclaimer: there are workarounds for this but is far more complicated than it should be.
On the other hand, BLoC works by receiving events and emitting states. It doesn't care (although it may) from where the event came from. Using the same example from the above, the view would signal an event to the bloc/controller with "hey, my number changed!", the bloc then would process this new event and, if suitable, emit a signal to the UI: "hey UI! You should change! I have a new state for you!". Then, the UI rebuilds itself to present those changes.
For me, the advantage of BLoC over MVVM is that the business logic can be entirely decouple from the view, which is overall a better way to do things. As our modern software development requires more and more changes in the UI (being different screen sizes, densities, platform, etc.), having the UI side decoupled from the models are a fantastic feature to code reusability.