I'm a Coastie girlfriend as well. While you could go (depending on the situation with the virus), I will advise you not to. My SO asked me to come visit and I turned towards this forum and other people questioning whether or not I should go. I'll highlight some key points for you
1) Let your Coastie experience the day with his shipmates. This is a chance for him to deepen connections.
2) There will be CCs supervising them "undercover," and if he does something inappropriate with you, there will be consequences. Plus, since he will be in uniform, you would need to make sure you walk on his left side (because he needs his right arm free to salute) and have no public displays of affection. Basically, he could get in trouble for behaving the wrong way around you. Since there are only a couple week left, it would be awful if he got reverted.
3) Seeing you could be a distraction for his last couple weeks at BC.
So, even though you are free to see him, I strongly advise you to hold off on it. I know the separation of BC is tough, but you will get through it! Stay strong!