bf penis problem?

Me and my bf have been dating 9mo now. He gets hard so easily, if we cuddle, if I flirt with him sexually, if we kiss, if I bend down and he sees my butt or boobs, and he always wakes up with a hard on. Every single monring even when he sleeps by himself. Is that normal? He thinks it is but should I push for him to get it checked out or maybe it's just fine? It's getting frustrating because I can't keep finishing him off everytime he's hard esp if we stay in all day. He's 22 and I'm 23.