from selenium import webdriver
from selenium.webdriver.common.by import By

Setup the browser

driver = webdriver.Chrome()
driver.get('URL_OF_BOOKING_SITE')

Interacting with elements

name_input = driver.find_element(By.ID, 'name')
name_input.send_keys('John Doe')

Click booking button

submit_button = driver.find_element(By.ID, 'submit')
submit_button.click()