Yes. With a few exceptions, insurers must now cover FDA-approved contraceptive methods and counseling for all women without co-pays or deductibles. This includes birth control pills and IUDs provided at no additional cost to you. Emergency contraceptives, such as Plan B, are also covered. The law does not require insurance plans to cover drugs that induce abortion.
If you work for a religious employer such as house of worship, your employer is not required to provide an insurance plan that offers contraception coverage. Check your plan to find out if these services are covered. If you work for a religiously-affiliated organization such as a religious hospital, university, or charity, the insurance plan they provide is still required to cover contraception services at no cost to you, but any payments your employer makes into the plan will not go toward covering those services.