The Navy was a great place to start a nuclear power career 40 years ago.
A lot has changed since then, the industry was in a construction boom, and is now in a decommissioning boom. The Navy "changed" its academic standards substantially, there's not as much regard as there used to be for being successful in that program.
Electrical engineers are needed in grid upgrades, renewable energy interconnections - there's a bigger future for you in the utility industry than my chosen field of nuclear power.
That said, the US Navy is a fine career for a young degreed engineer. Just don't go anywhere near nuclear. The service provides good pay, travel, benefits, youthful retirement prospects - without the 16 hour days my generation in the Nuclear Navy put in.