Google Image API - how to handle returned data?

The Bing Image Search API v7 seems to have what you're looking for. To use it, you'll need an Azure Cognitive Services account, which you can learn how to do here.

I quickly put together a Power Query M code sample that searches the Bing Image Search API for "Tower of London":

let
    API_KEY = <place your Bing Image Search API key here>,
    q = "Tower of London",
    domain = "https://api.cognitive.microsoft.com",
    path = "/bing/v7.0/images/search",
    endpoint = Uri.Combine(domain, path),
    request = 
        Web.Contents(
            endpoint,
            [
                Query = [
                    q = q
                ],
                Headers = [
                    #"Ocp-Apim-Subscription-Key" = API_KEY
                ]
            ]
        ),
    response = Json.Document(request),
    value = response[value],
    tableOfValues = Table.FromList(value, Splitter.SplitByNothing(), {"values"}, null, ExtraValues.Error),
    ExpandedValues = Table.ExpandRecordColumn(tableOfValues, "values", Record.FieldNames(tableOfValues{0}[values])),
    DefinedDataTypes = Table.TransformColumnTypes(ExpandedValues,{{"webSearchUrl", type text}, {"name", type text}, {"thumbnailUrl", type text}, {"datePublished", type datetime}, {"isFamilyFriendly", type logical}, {"creativeCommons", type text}, {"contentUrl", type text}, {"hostPageUrl", type text}, {"contentSize", type text}, {"encodingFormat", type text}, {"hostPageDisplayUrl", type text}, {"width", Int64.Type}, {"height", Int64.Type}, {"hostPageFavIconUrl", type text}, {"thumbnail", type any}, {"imageInsightsToken", type text}, {"insightsMetadata", type any}, {"imageId", type text}, {"accentColor", type text}})
in
    DefinedDataTypes

It gives me this result:

Note: I used the Chiclet Slicer to show these images in Power BI.