import sys
import firebase_admin
from firebase_admin import credentials
from firebase_admin import storage

cred = credentials.Certificate('/Users/your.name/yada-yada-firebase-adminsdk.json')
firebase_admin.initialize_app(cred, {
    'storageBucket': '<yourstorage>.appspot.com'
})

bucket = storage.bucket()

blob = bucket.blob('folder_in_cloud/another_folder/name_of_file.txt')
blob.upload_from_filename('/Users/your.name/yada-yada-file.txt')

# If you want to dowload
# blob.download_to_filename('/Users/your.name/yada-yada-file.txt')

print(blob.public_url)