There are lots of explanations of resonant circuits online, such as this one here. But I'm still confused about something - if the circuit has a condition of resonance, so the current and voltage are oscillating back and forth, how does anything get past the tank circuit to the load?

 

how does anything get past the tank circuit to the load?

You use a high impedance load, such as a transistor amplifier or op amp to buffer/extract the oscillating voltage, that doesn't appreciably affect the resonant circuit currents and voltages.

 

There are lots of explanations of resonant circuits online, such as this one here. But I'm still confused about something - if the circuit has a condition of resonance, so the current and voltage are oscillating back and forth, how does anything get past the tank circuit to the load?

The circuit as shown in the link is a principle one only - it has the task to explain the resonance effect, but it has no use in practice.
Practical circuits use at least two additional resistors with the aim to realize a frequency-dependent voltage divider.
That means: One resistor in parallel (damping for determination of the bandwidth) and one resistor in series to the parallel combination.