Left Click a game's banner to start the game.
Ctrl + Left Click on a game's banner to go to the Steam Store page for that game.
You can also
Shift + Left Click a game to install it through Steam.
Lastly, if you
Alt + Left Click a game then you can view your achievements.
To find your steam ID or alias - log into the Steam website then
click your avatar on the top right of the page. The page URL should now contain your ID or alias in the form of...
https://steamcommunity.com/id/
myalias/
... or ...
https://steamcommunity.com/profiles/
somelongnumber/
Once you have that, put it into the box above.