is it appropriate?

I saw on my boyfriend's phone that he's been chatting with a female from his job. Their convos are here and there, maybe every other day or every 3 days. They talk the usual like asking if they could change shifts, one can cover for the other, etc. Normal innocent stuff. I saw he was asking her about music recommendations which was fine but I had saw that almost every time he's been going to work, he's been asking her what she would want him to bring her... He hardly buys anything for me but yet he's going and buying her breakfast? and I guess after he asked her to change a shift and she agreed, he said "thanks b". Do I have anything to worry about? What should I say to him? Do I say anything?