OK, you need to modify that circuit to work from a single supply. You need to create a "virtual" or "derived" ground rail at around half the supply voltage. Then you need to return R2 and R3 to this rail instead of the 0V rail.
A derived ground rail is typically created using two equal resistors (typically around 10k) in series, connected from +5V to 0V, so the centre point (the derived ground) will sit at around 2.5V. You also decouple the derived ground to 0V with a capacitor so it is "firm" to AC - i.e. not affected by AC currents from the circuitry that is using the rail. In this application though, these AC currents will be at a very low frequency, so a very large capacitor would be needed. So it's impractical to make the rail "firm" with a capacitor. You can use another element of the LM324 as a voltage follower to buffer the 2.5V from the divider and provide a firm derived ground rail, or you can use a TLE2426 (Texas Instruments), a TO92-packaged voltage rail splitter.
These changes will shift the DC voltages on all pins of the op-amp up to 2.5V. Assuming your microcontroller's ADC uses a 5V reference, it will read nominally half scale (128, 512, 2048 or whatever) when there is no signal.
The LM324 is not a very good op-amp in many respects. In this case, you will lose quite a bit of the useful range of your ADC because the LM324's outputs cannot swing very close to the positive rail. There are many op-amps available with "rail-to-rail outputs" from various companies. Search on Google, or Digikey, Mouser etc. Make sure the op-amp has rail-to-rail OUTPUTS; rail-to-rail inputs are more common but aren't needed here because the input signal is so small.
I would also suggest using a variable gain amplifier, so the microcontroller can adjust the gain to keep the ADC input voltage high enough to measure clearly without clipping. That is unless you discover that the heartbeat signal from the LDR has a fairly constant amplitude regardless of measuring conditions (thick skin, sensor not positioned quite right, etc).