By choosing the “Community” on the left hand navbar and then selecting “My network” as shown here:

You will arrive at the “My network” screen where you can search and add friends, colleagues and peers from around the world or follow companies that are of interest for you.
Search: The “My network” page allows to search for a person directly by typing the name in the search bar:

Once you find the right person (Johan Sundén) in the above example, you can then click connect to link with the person and expand your network.
—> You can also search for a law firm or a company in this search bar in order to follow such a law firm or company by selecting “Organizations”:

Requests: Under the tab “Reuests” you can see the number of sent and received invites. You can also click these two tabs to see more details:

Connections: Under connections you can see your network and message your contacts.
Followed companies: Under the tab “Followed companies” you can see the companies that you follow. You can filter them and/or choose to unfollow them:

Who’s viewed your profile: Under this tab you can see who looked at your profile and you can also connect with people who you are not yet connected with.