The lists of symbols and gifts for wedding anniversaries is often written and talked about. Dating anniversaries tend to be celebrated in months rather than years.
There does not appear to be a similar universally accepted gift guide or suggested list for dating anniversaries.
I say, if he likes this girl, the sky's the limit. He wants to get away with doing the least amount possible. If a guy feels lukewarm about me, I would rather him take me to Mc Donald's.
Don't take a girl to Ruth's Chris because you think you "should," if you feel you might peter out in Month #2.
A trendy watch or thoughtful jewelry (keep it simple, nothing too expensive or sentimental), dinner at upscale restaurant, or a fancy home cooked meal.
Handbag, dresser valet, perfume, cologne, or a fragrance gift set that suits their taste is also a good choice (Tip for the men: avoid experimenting when giving fragrances, stick to what she likes).
These days, I'm all about honesty and being up front.