@Janice1 you ask an excellent question, and it is terrific that you are working to be as responsible as you can be when acting as caretaker for the property.
The difficulty is that with "Entire House" listings, the expectation of the guest is that no one will enter the property during their stay. (The rules are somewhat different for long term stays.) (I know you mentioned renting the place out for two months, but I didn't think you meant the entire 2 months would be for one set of guests.)
Our listing is pretty ideal for keeping an eye on the property, because even though it is for an Entire Apartment and we do not enter, we can hear if the guests are making a lot of noise (we are on the floor below them).
Are you physically close to the listing? It is certainly okay to swing by the outside and eyeball what is going on from the outside. Also, it makes a lot of sense to check in periodically with the guests via the AirBnB messaging system to see how things are going.
And, of course, in a pinch you can ask for permission to enter the listing during the guest's stay. They may not say yes, but you can always ask. Think of some innocuous reason (maybe you are offering daily garbage pickup, or to check on the amount of toilet paper, or "that darned leaky toilet"). Anything other than having to say:
"Hello! I am going to swing by the property to see if you have damaged anything or are throwing a party! Cheers!"