If you have only hydrogen sulfide, then you should not need a hypo stage to scrub this.
Two stage scrubbing (first caustic, then hypo) generally is used when there are more reduced sulfur compounds present than just hydrogen sulfide. The mix of reduced sulfur compounds commonly detected includes hydrogen sulfide, methyl mercaptan, dimethyl sulfide (DMS) and dimethyl disulfide (DMDS). Hydrogen sulfide and methyl mercaptan are acids that are efficiently scrubbed with caustic, but DMS and DMDS require at least partial oxidation to render them soluble in aqueous solution. Unfortunately, hypo can also oxidize methyl mercaptan to DMDS, which is then harder to remove. Therefore caustic is used first to take out most of the methyl mercaptan, prior to using an oxidizing agent.