Yep, almost. Every* i2p node also acts as a relay, which not only helps the network, but also your anonymity, by drowning out your traffic. It however only does this inside the network, it doesnt work like an exit node.

By default, it does run a proxy, so that you can access i2p addresses using a browser set up to use it. It also lets you use the proxy to access the internet over i2p, but you have to choose an exit node manually (tho iirc there is one set up as default, which is fairly centralized, but still should be anonymous thanks for the rest of the network). A slight difference from Tor is also that these are protocol level proxies, so you will for example not be able to connect to a clearnet ssh server over these.

*https://geti2p.net/en/about/restrictive-countries

Yea, i2p is slightly more involved than just starting up tor browser, but its not that bad. The real problem for this case is that it doesnt have exit nodes built into the protocol, so getting to the internet is a bit harder.