For those in long standing monogamous relationships the CDC does not recommend barrier protection. If that does not apply to your situation then yes you should use barrier protection.
While hep c is not considered to be an STD there is a somewhat increased for those with multiple sex partners especially in engaging in rough sex practices or one partner has HIV as that also seems to increase risk of transmission
What About Sex and Hepatitis C?
Hepatitis C can be spread through sexual intercourse, but the risk is considered to be low. It is extremely rare among monogamous couples, meaning couples who only have sex with one another. The risk increases if you:
Have multiple sex partners
Engage in rough sex
Have a sexually transmitted disease
Are infected with HIV
There is no evidence that Hepatitis C is spread by oral sex.
To reduce the chance of getting or giving Hepatitis C through sexual contact, follow these guidelines:
Decrease the number of people you have sex with or have sex with only one person.
Use latex condoms every time you have sex, particularly if you have:
More than one partner
Rough sex that might make one of you bleed
Sex during your or your partner’s menstrual period
Sex when you or your partner has an open sore on either of your genitals