Why doesn't this capacitor voltage rise when the current does flow into it
Since the voltage of a capacitor can be calculated by

$$u(t)=\frac{1}{C}\int i dt$$

Let's look at your simulation settings. Your current is milliamp scale, which is to the \$10^{-3}\$ order. And for your pulse, I guess it is several nanoseconds. Therefore, for each pulse, your voltage will increase \$10^{-9}\$V. That's why it is not increasing in your simulation setting.

Given the voltage formula, there are basically 3 ways to solve your problem:


Increase the time that you applied your current. For example, applied a square wave.
Increase the current flown into the capacitor.
Decrease the capacitance. 1 farad is fairly a large number for a capacitor, try 1 nF or something like that.