Alan's link implies Bridge can be had for free. But you have to use Creative Cloud to get it, and I think you have to login to the Creative Cloud app to use it, and you have to have a subscription to something to login?
No, all you need is a free Adobe account to log in to, the same as you need if you want to post on one of the Adobe Community Forums or register your product's serial number in order to have a backup record of it, etc. And once you have downloaded Bridge, it will run without needing you to be logged in, as a portal for whatever Adobe software you have installed (except Lightroom).
I initially downloaded it in November when it became free and at that time I had already installed LR6 (Perpetual License) and Elements 12. I had hoped that it might use my scanner's Twain driver to input scans and send them to PSE's ACR, but it wouldn't. Still it was simply a convenient way (better than Explorer or PSE's Organizer) to review saved images before opening them in PSE, so I left it installed. Then at the beginning of the year I started a CC Photography Package subscription, so PSCC 2015 and ACR 9.3 became Bridge's default go-to programs but PSE 12 remained an option. However, if, for instance, my subscription were to expire, I don't know if whatever ACR was installed at that time would continue to be available to Bridge. I would guess, probably not.