What does the 10 ohm resistor do, for a start? It looks like the breadboard would short it out.
What does the 10K resistor do? It just drains some of the current (0.5 mA) from +5V to ground but doesn't do much else.
I'm not that keen on the twisted connections on the switch, might not be doing much - try soldering the wires on.
C has the power source attached, NO means it returns LOW for an open switch and NC will return HIGH until pressed.
C is common. NO is connected to C when you close the switch (it is Normally Open) and NC is connected otherwise (it is Normally Closed).
Throw away the 10 ohm resistor, that isn't doing anything. Connect the 10K between the C point and 5V. Connect the NO point to ground. Connect the C point to pin 2.
Now the C will have a pull-up (the 10K) which will make it high unless you push the switch. That then grounds it, giving you a low.
However I do get a HUGE amount of printing to the serial monitor whenever I touch the 10ohm resistor, or the yellow wire going from NO to the breadboard.
You are just measuring noise, because you have neither a pull-up nor pull-down on the pin.