Here is code that should do what you desire.
I included two versions of the function, one for clarity, and one that is smaller but functionally identical.
####################
# Create a list of lists / elements
####################
#x = [[1,2,3],[3,4],[3,4,[3,4,5],[4],[5,4,6]],[4,3,4,5,[[[6]]]]]
x = [[], [[[[], []], [[]], []]], [[]]]
############################################################
# First implementation (included for clarity)
############################################################
def get_len_lists(this_list):
    # Set number of elements to 0
    num_elem = 0                              
    # Loop through each element in the list...
    for elem in this_list:                          
        # .. if it's a list...
        if type(elem) == list:                      
            # ... if the list is empty, count that as an element
            if elem == list():                      
                # ... so add one
                num_elem += 1                       
            else:
                # ... get the number of elements...
                num_elem += get_len_lists(elem) + 1 
        # ... otherwise...
        else:                                       
            # ... just add one to the length of the list
            num_elem += 1                           
    # Return the number of elements in the list
    return num_elem                                 
############################################################
# Smaller implementation
############################################################
def get_len_lists_2(this_list):
    # Set number of elements to 0
    num_elem = 0                                    
    # Loop through each element in the list...
    for elem in this_list:                          
        # We add one for each level, regardless of whether it is an element or a list
        num_elem += 1                              
        # If it's a list...
        if type(elem) == list:                      
            # .. get the number of elements in the list
            num_elem += get_len_lists(elem)         
    # Return the number of elements in the list
    return num_elem                                 
result1 = get_len_lists(x) + 1
result2 = get_len_lists_2(x) + 1
print(result1)
print(result2)
The output is:
12
12