@Hugo Jimenez this is definitely not something that comes up very regularly; however, it is specifically addressed by Florida State Statute 83.59(3d) as indicated below:
F.S.S - 83.59 Right of action for possession-
(3) The landlord shall not recover possession of a dwelling unit except:
(d) When the last remaining tenant of a dwelling unit is deceased, personal property remains on the premises, rent is unpaid, at least 60 days have elapsed following the date of death, and the landlord has not been notified in writing of the existence of a probate estate or of the name and address of a personal representative. This paragraph does not apply to a dwelling unit used in connection with a federally administered or regulated housing program, including programs under s. 202, s. 221(d)(3) and (4), s. 236, or s. 8 of the National Housing Act, as amended.
Keep in mind that this law is completely civil in nature. Once you close on the property, I think that it would be fine to kindly ask the executor of the estate or the deceased's personal representative to make arrangements to have the unit cleaned out as soon as possible. They may be willing to remove her belongings prior to that. Once the unit is empty, as @Anna Laud mentioned, it would be a good idea to have the executor or personal rep sign a Release to Right of Possession. I would just try to ensure that no other relative decides to move into the unit while they are supposed to be cleaning it out. If this were to happen and then they decided that they were not going to leave, you could be stuck with having to go through an actual eviction worst case scenario. From what you have described though, it doesn't sound like this is likely... But stranger things have happened.
You also might want to check out Florida Statute 83.67 for Prohibited Practices - Prohibited Practices
Best of luck with your newest investment property and the new learning experience!