You can use any android HTTP libraries to work with http requests.
For example:
OkHttp:
https://square.github.io/okhttp/

Open the build.gradle file for your application and add the library to the dependencies section:

 dependencies {
    // ...
    implementation("com.squareup.okhttp3:okhttp:4.9.0")
    // ...
  }

Open the AndroidManifest.xml file for your application and add the permission:

<manifest
  ...
  <uses-permission android:name="android.permission.INTERNET" />
  ...
  <application
  ...

Add the source code to your activity (use your RapidApi key):

package com.trueway.placesapi;

import androidx.appcompat.app.AppCompatActivity;

import android.os.Bundle;
import android.util.Log;

import org.json.JSONArray;
import org.json.JSONException;
import org.json.JSONObject;

import java.io.IOException;
import java.util.Locale;

import okhttp3.Call;
import okhttp3.Callback;
import okhttp3.OkHttpClient;
import okhttp3.Request;
import okhttp3.Response;

public class MainActivity extends AppCompatActivity {
    private final static String TAG = MainActivity.class.getSimpleName();

    private final static String RAPIDAPI_KEY = "<YOUR_RAPIDAPI_KEY>";
    private final static String RAPIDAPI_TRUEWAY_PLACES_HOST = "trueway-places.p.rapidapi.com";

    private final OkHttpClient client = new OkHttpClient();

    public void getRapidApiAsync(String url, String rapidApiKey, String rapidApiHost, Callback callback) {
        Request request = new Request.Builder()
                .url(url)
                .get()
                .addHeader("x-rapidapi-key", rapidApiKey)
                .addHeader("x-rapidapi-host", rapidApiHost)
                .build();
        Call call = client.newCall(request);
        call.enqueue(callback);
    }

    public void findPlacesByText(String text, String language, Callback callback) {
        getRapidApiAsync(String.format(Locale.US, "https://%s/FindPlaceByText?text=%s&language=%s", RAPIDAPI_TRUEWAY_PLACES_HOST, text, language),
                RAPIDAPI_KEY,
                RAPIDAPI_TRUEWAY_PLACES_HOST,
                callback);
    }

    public void findPlacesNearby(double lat, double lng, String type, int radius, String language, Callback callback) {
        getRapidApiAsync(String.format(Locale.US, "https://%s/FindPlacesNearby?location=%.6f,%.6f&type=%s&radius=%d&language=%s", RAPIDAPI_TRUEWAY_PLACES_HOST, lat, lng, type, radius, language),
                RAPIDAPI_KEY,
                RAPIDAPI_TRUEWAY_PLACES_HOST,
                callback);
    }

    private void showResults(String responseStr) {
        try {
            JSONObject jsonObj = new JSONObject(responseStr);
            // Getting results JSON Array node
            JSONArray results = jsonObj.getJSONArray("results");
            Log.d(TAG, "found places: " + results.length());
            // looping through All Results
            for (int i = 0; i < results.length(); i++) {
                JSONObject result = results.getJSONObject(i);
                String id = result.getString("id");
                String name = result.getString("name");
                String address = result.getString("address");
                JSONObject location = result.getJSONObject("location");
                double lat = location.getDouble("lat");
                double lng = location.getDouble("lng");
                Integer distance = result.has("distance") ? result.getInt("distance") : 0; // present for FindPlacesNearby only
                Log.d(TAG, String.format(Locale.US,"result[%s]: id=%s; name=%s; address=%s; lat=%.6f; lng=%.6f; distance=%d", i, id, name, address, lat, lng, distance));
            }
        } catch (JSONException e) {
            e.printStackTrace();
        }
    }

    @Override
    protected void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);
        setContentView(R.layout.activity_main);

        findPlacesByText("Children's Creativity Museum", "en",
                new Callback() {
                    @Override
                    public void onFailure(Call call, IOException e) {
                        // Something went wrong
                    }

                    @Override
                    public void onResponse(Call call, Response response) throws IOException {
                        if (response.isSuccessful()) {
                            String responseStr = response.body().string();
                            // Do what you want to do with the response.
                            Log.d(TAG, "findPlacesByText response: " + responseStr);
                            showResults(responseStr);
                        } else {
                            // Request not successful
                        }
                    }
                });

        try {
            Thread.sleep(2000);
        } catch (InterruptedException e) {
            e.printStackTrace();
        }

        findPlacesNearby(37.783366,-122.402325, "cafe", 150, "en",
                new Callback() {
            @Override
            public void onFailure(Call call, IOException e) {
                // Something went wrong
            }

            @Override
            public void onResponse(Call call, Response response) throws IOException {
                if (response.isSuccessful()) {
                    String responseStr = response.body().string();
                    // Do what you want to do with the response.
                    Log.d(TAG, "findPlacesNearby response: " + responseStr);
                    showResults(responseStr);
                } else {
                    // Request not successful
                }
            }
        });

    }
}