I’m trying to think of more than one place in the NT where “religious clothing” is mentioned.
I'm not sure that it's exactly a Biblical commandment, but the Lord does say not to hide your light under a basket. I figure a nun in full habit is a lighthouse, and I'm not even Catholic.
It's there...Just not in a positive light:
Matthew 23:
Then Jesus spoke to the multitudes and to His disciples, 2 saying: The scribes and the Pharisees sit in Moses seat. 3 Therefore whatever they tell you to observe, that observe and do, but do not do according to their works; for they say, and do not do. 4 For they bind heavy burdens, hard to bear, and lay them on mens shoulders; but they themselves will not move them with one of their fingers.
5 But all their works they do to be seen by men. They make their phylacteries broad and enlarge the borders of their garments. 6 They love the best places at feasts, the best seats in the synagogues, 7 greetings in the marketplaces, and to be called by men, Rabbi, Rabbi. 8 But you, do not be called Rabbi; for One is your Teacher, the Christ, and you are all brethren.
9 Do not call anyone on earth your father; for One is your Father, He who is in heaven. 10 And do not be called teachers; for One is your Teacher, the Christ. 11 But he who is greatest among you shall be your servant. 12 And whoever exalts himself will be humbled, and he who humbles himself will be exalted.
Voice of the Martyrs has the only worthwhile apparel, IMHO.