Especially when interfacing with a personalization provider directly, it can be beneficial to retrieve the conditions in parsed form:

{
  content {
    page(id: "123456") {
      id
      name
      contentVariants {
        content {
          id
        }
        conditions {
          condition
          vendor
          type
          externalId
          vendorAttributes
        }
      }
    }
  }
}

The output would look like this:

{
  "data": {
    "content": {
      "page": {
        "id": "123456",
        "name": "The Page",
        "contentVariants": [
          {
            "content": {
              "id": "345678"
            },
            "conditions": [
              {
                "condition": "cmec:///p13n/segment/12345678901234567890;cmecType=segment",
                "vendor": "cmec",
                "type": "segment",
                "externalId": "12345678901234567890",
                "vendorAttributes": "cmecType=segment"
              }
            ]
          }
        ]
      }
    }
  }
}

See the notes about the interpretation of the variant list in the previous section.