Answer:
No it is not. The symbol C7 is referring to a C Dominant 7 chord. They are closely related though. Both chords contain the C Major triad containing the notes C-E-G. The Cmaj7 chord has what is called a Major 7 added to the triad. In the case of the C Major scale the natural 7th is B. So the CMaj7 chord is spelled C-E-G-B. The difference between Maj7 chords and Dominant 7 chords is that in Dom 7 chords the 7th that is added to the major triad is one half step lower than the major 7th. This is called the minor 7th. In the case of the C7 chord the Major 7th (B) is flatted (lowered) a half step to become the minor 7th (Bb). Thus the B becomes Bb for the C7 chord. So the CMaj7 chord is spelled C-E-G-Bb.