How to clear the login information of GTA V

Run as Administrator

First, completely exit Steam, and right-click on the shortcut which you use to launch Steam and select "Run as Administrator." This step may be enough to fix the problem. If not, continue below:

Additional Installers

You may need to manually run secondary installers required by this game. Exit Steam entirely. Browse to your Grand Theft Auto 4 installation folder (Usually C:\Program Files\Steam\steamapps\common\grand theft auto iv\)

You will need to run each of the following installers:

...\steamapps\common\grand theft auto iv\Installers\DirectX_jun2008\DXSETUP
...\steamapps\common\grand theft auto iv\Installers\DirectX_Mar2009\DXSETUP
...\steamapps\common\grand theft auto iv\Installers\vcredist_x86

Games for Windows Live

Also, install the latest version of the Games For Windows Live software, which can be found here: http://www.microsoft.com/games/en-US/Live/Pages/livemarketplace.aspx

Restart your computer and test the issue again. If you continue to have difficulty, run this installer:

...\steamapps\common\grand theft auto iv\GTAIV\Activation\SteamActivation 

References

Taken from this steam forum post. In addition, there is another thread of a huge list of GTA IV steam issues which you can find here.

It is not possible to get rid of that screen via steam. Game will check if you have a working net connection, everytime it starts via steam. So, it will ask for you to log in to social club everytime. If you start game, without an internet connection, it should not ask for the same.