Does the ham radio license also cover the GMRS license?

Does the ham radio license also cover the GMRS license or do I need a different License?

As we known from FCC rules, an amateur radio license does not confer GMRS frequencies.the GMRS radio follows the FCC Part 95 rule. 

The GMRS frequency is covers around 462 MHz and 467 MHz. There are 30 GMRS channels with a bandwidth of 25 kHz (20 KHz authorized bandwidth) or 12.5 kHz. 

The ham radio license covers the frequency 2m band 144-148Mhz, 70cm band 420-450Mhz, and 1.25m band 222-225Mhz. All frequencies are shared. No frequency is assigned for the exclusive use of any amateur station. Station control operators cooperate in selecting transmitting channels to make the most effective use of the frequencies. The ham radio follows Part 97 rule. 

An FCC license is required to operate GMRS system. Licenses are issued for a ten-year term and can be renewed between 90 days prior to the expiration date and up to the actual expiration date of the license. After a license expires, an individual must request a new GMRS license.

Any individual in the United States who is at least 18 years of age and not a representative of a foreign government may apply for a GMRS license by completing the application form, either on paper or online through the FCC's Universal Licensing System. No exam is required. A GMRS license is issued for a 10–year term.The current fee is $70 for all applicants. The fee is expected to be reduced sometime in 2021 to $35 once the FCC publishes a notice of the actual effective date .

Operation of an amateur station requires an amateur operator license grant from the FCC. Before you get your FCC license, you need to get an examination. 

So ham radio license is not the same with GMRS licese, but GMRS radio and ham radio maybe used by the same amateurs.