Adult mono is oftentimes called "chronic fatigue syndrome". It's actually harder for adults to shake it than kids, hence 'chronic'. As with any virus, the epstein-barr virus (EBV) that causes mono can be transferred from person to person through it's own particular transmission routes. EBV is typically transmitted by saliva exchange and has been called the 'kissing disease'.
In order for you to get it from your boss, he would first have to get it from his daughter - highly unlikely in a healthy adult - and then pass it on to you - even more unlikely unless you somehow share saliva. Your risks are very low.
Here's some info on EBV
EBV