Completely different. Look up privacy or anonymity on beaker's site? Crickets. It's a browser, apparently with all the dangerous bloat (javascript...) with a bolted-on p2p network that apparently does nothing for privacy or censorship resistance.
Freenet is a p2p network with a focus on anonymity and resistance against censorship. It's not a browser, but for freesites it's got protections in place to filter out dangerous active content.