My GOG Galaxy Client is currently 2.0.37.384 - Beta, based on what's listed in the settings menu. According to the change log, this last update was made back in March 29 of this year, however I am uncertain if this is the current latest update for the Galaxy client.

I kind of wish there was a special "Check for updates" button within the settings menu to force GOG Galaxy to check for any newer Beta releases.

It's latest.
In general settings tab there is a "Public beta" option to check though.

But the problem is how does this person know if they're up to date? Where do we go to check that? Three months without an update is enough to make us wonder if it's up to date. Especially in the beta.

Maybe this is better documented elsewhere, but if so, I haven't run across it yet.

I'm apparently running version 2.0.45.61 - Beta of the Gog Galaxy Client. I can see that listed in slightly grey text at the lower left corner of the Settings window (reached by clicking the gear icon in upper left of the main client dialog and choosing Settings). If you're running a different version then things might be different for you, but hopefully not too different.

I can see what the latest version of the client is by selecting 'Changelog' from the gear menu. The latest change there says "2.0.45 Hotfix (December 21, 2021)" That doesn't EXACTLY match what I'm running, but it's pretty darn close.

There's also a 'What's new' item in the gear menu which allows you to iterate through a list of recent news. Confusingly, the most recent item I see there today is from July 2021 and is titled 'Welcome to update 2.0.38'. This might make me think my version is 2.0.38, but I think actually it's just that in July 2021 they released 2.0.38 but haven't added any more recent news items, including announcements of new versions that came out since then.

It would be nice if the client had a manual 'check for updates' button somewhere, but I assume that it automatically just checks for updates everytime you start it.

(Jan 14, 2022)

Updated info: Client versions 2.0.48 Beta (April 26 2022) and newer now include a 'check for updates' button found in the menu revealed by using the cogwheel icon.