Thanks for your question! I’m Daniel, I work with Katherine to help answer questions on the Voicebrew forum!
It’s hard to answer your question without knowing which model of Bose speaker you have – there seem to be quite a few!
I’d suggest taking a look at this page about Bose and Alexa, and seeing if your model is on there. If it’s not, you may be able to connect an Echo Dot using the auxillary output jack – provided your Bose system has an auxillary input jack (for connecting a cable).
Since I’m not very familiar with the variety of Bose products, it might be good to reach out to Bose support and ask them before purchasing anything.
Hope that helps!