in my opinion, both of their meaning are same as you written, but differences are... when you make a Korean sentence, it would be different. when u use 보고싶어요, the sentance just is restricted to visual imagery. but when u use 그리워요, u can make sentances using every imagery. for example 난 당신의 코가 보고싶어요. (O) 난 당신의 향기가 보고싶어요(X) 난 당신의 코가 그리워요. (O) 난 당신의 향기가 그리워요 (O) but, sometimes people use 보고싶다 for any imagery sentance for poetry. thank you for reading and.... sorry for pool explanation.

정말 감사합니다, I am confused to use it in a sentence, now i understand.. if you do not mind, I want to learn Korean language correctly, thank you ;-)

e.g.- 한국이 그립다(O), 한국이 보고싶다(X)

그리우니깐 보고싶은거겠죠?

보고싶다=to want(desire, hope...) to see someone