The incubation period for mono is typically about 4-8 weeks. So, if you were thinking that you were exposed to your boyfriend two weeks ago, and are now getting sick with mono, that would be unlikely.
If your boyfriend was sick for a couple weeks before he was diagnosed two weeks ago, so that your symptoms started 4 weeks after the start of his symptoms, then you could be having symptoms that you caught from him.
However, if each of you develop mono symptoms within two weeks of each other, it is actually much more likely that both of you caught the disease from another person, and quite possibly the same person. It is important to note that transmission of mono does not require kissing or other intimate contact, although this is a common misconception. So, it is very possible that both of you contracted mono from social contact with the same person. It is also important to note that someone with mono is still contagious for months after the symptoms resolve, so it is not necessary that the person to whom both of you were exposed would be ill at the time of contact.
It is also worth noting that there are some people with mono that can also have Strep. The mono, itself, will frequently cause a significant throat infection, but if there is more purulence or exudate in the throat or there is significant inflammation of the tonsils, it would be appropriate to consider a Strep test. Tonsils that are simply enlarged or mildly red are not as concerning as severely red and inflamed tonsils with purulence.
Sharing drinks with him could be a source of transmission, but only if his symptoms started a couple weeks before the diagnosis was made two weeks ago, as I noted above.
Two weeks after exposure would be too early to go for a mono test, but the mono test will be accurate two weeks after onset of symptoms. It will usually be negative during the first week, but will become increasingly likely to be positive after a week.
If I can provide any additional information, please let me know.