My partner found out she has HPV16.Do I have it too? If so, then what should I do about it wrt my health? Can our bodies heal if we take certain steps?

Probably you have it. if your partner has hpv probably you have it too even though you have no symptoms as virus can remain latent and without symptoms it is hard to know if you have it. Use condom in the event that if you are fortunately not infected yet it is likely to prevent it.