Will this connect to my Bose Bluetooth headphones?

Yes, the Yamaha R-N303BL Network Stereo Receiver has built-in Bluetooth 2.1, which will allow it to connect to your Bose Bluetooth headphones.

Can I connect this to any Bluetooth equipped speaker?

Not sure about that. But you can connect a BT device to play it through this receiver.

It has connections on the back for am and fm ant. so I would say yes it does

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YAMAHA R-N303BL Network Stereo Receiver with Wi-Fi Bluetooth & Phono - Black

Simple and sophisticated design
Phono input terminals for turntables
Optical and coaxial audio inputs for TV
Two channels of 100 W high-power output (0.2% THD)
Wi-Fi®, Wireless Direct, Bluetooth® and AirPlay®
Access to your music library, Pandora®, Napster, Spotify, SiriusXM Internet Radio, TIDAL and Deezer
DSD 5.6 MHz, FLAC, WAV, AIFF 192 kHz/24-bit, Apple® Lossless 96 kHz/24-bit playback
Add audio in up to 9 additional rooms with MusicCast
Amazon Alexa and Google Assistant voice control compatibility

Out of Stock