IAmVeryFast: Is it possible to connect my gog account to steam and if so how?
It depends on what exactly you are hoping to achieve in the end.
If you are looking to be able to launch your GOG owned games from within the Steam client, you can "Add non Steam game to Steam" within the Steam client and have it scan your hard disk looking for games. This will normally discover all GOG games, CD/DVD and other game installations and offer the option to be able to launch them from within Steam. Keep in mind that Steam feature merely launches the games as a convenience, and often the Steam screenshot and video streaming funcationality as well as the Steam overlay will work with most non-Steam games, however things like Steam cloud storage, achievements or other Steam specific features will not work because such games are not the Steam versions of the games. You need to own the Steam version of a game on Steam to get that level of functionality. Nonetheless it is convenient to be able to launch games from other services using the Steam client.
Alternatively, if you are looking to be able to do the opposite of that - to launch non-GOG games such as Steam games from within the Galaxy client, that is also possible however not yet via built in functionality. In order to launch Steam games or CD/DVD games from within Galaxy requires either using a 3rd party application someone wrote and posted here in the forums which creates custom goggame*.info files for Galaxy to read at launch which adds 3rd party games to the Galaxy client interface, or to manually create such files oneself (they are JSON config files basically).
GOG provides a service called "GOG Connect" which allows you to link your GOG account to a single Steam account as well, which is used to implement a promotional feature in the store in which a few times per year game publishers on GOG occasionally provide promotional free copies of their games on GOG to GOG customers that already own their game(s) on Steam. In order to take advantage of these free promotions one simply has to link their Steam account to GOG and wait for the next major GOG Connect promotion which usually happens during the major seasonal GOG sales. When a big sale is on and GOG Connect has active titles available, you can go to the GOG Connect web page and it will scan your Steam account to see if you own any games on Steam which are currently available in the promotion from publishers, and give you the option to get free GOG copies of some of the games. (Due to limitations in Steam's APIs, this does not extend to DLC owned on Steam yet unfortunately, but hopefully Valve will fix this limitation in the future also). GOG Connect promotions are of limited time normally lasting anywhere from a few days to a week or so, so if you sign up for the service be sure to check the store regularly for GOG Connect promotions. This service is useful for obtaining DRM-free copies of games already owned on the Steam platform which are available on GOG as well and are currently being cross promoted by the given publisher(s). I've got about 30-40 free GOG editions of games or so since it started so it is a nice bonus feature.
These are the only things I can think of in terms of any form of connecting the GOG and Steam services/gaming etc. together. If you meant something else other than these, feel free to explain in more detail what you're looking for, but the above is all that exists at the moment for the most part.