Press the Spacebar to open up Quick Search, then type in the first few letters of the class you want to interact with.
Press Tab to open up Full Search, then you can search for any method on any object. For GameObject.GetName, you could just search for 'getname' and see all the objects that have a way to get the name of the object. You could also search directly for 'gameobject.getname' and you will be directed to exactly the right node. This search method is slower than Quick Search, so it should be used only when you're not sure which class to look for in Quick Search.
This mode is turned off by default, so first you need to go to your Welcome Screen by clicking on 'Welcome' in the upper-left corner of a graph. Then check the box next to 'Focus Search On Selected Node'. This gives you a shortcut to skip to Quick Search part two - if you have a GameObject.GetName node, you can select it and press Spacebar to open up a search for more GameObject methods.
This mode is also off by default - you'll need to open your Welcome Screen and check the box next to 'Search on Noodle Drop'. Once it's on, you can drag a noodle from any port and drop it into empty space to open up a search for any node that could connect to that port. This works forwards and backwards, and will also search for Variables that could be connected.
Updated almost 2 years ago