05AB1E, 8 bytes
Code
žPS¡¦õÊP
Uses the 05AB1E encoding. Try it online!
Explanation
žPS¡ # Split the string on consonants (bcdfghjklmnpqrstvwxz)
¦ # Remove the first element of the array to handle cases when the
string starts with a consonant
õÊP # Check if the empty string is not in the array
Example
# "popularize"
žPS¡ # ['', 'o', 'u', 'a', 'i', 'e']
¦ # ['o', 'u', 'a', 'i', 'e']
õÊ # [1, 1, 1, 1, 1]
P # 1