Your access to personal kit varies from platoon to platoon, but as of this summer, most platoons had access to cell phones for a limited time each night, from 2000h to 2200h. Laptop access was restricted until late into the course.
Since you say you had a cell phone from your office, I am going to ask if you are going through as Reserve or Regular Force. While all Reg BMQ/BMOQs are done at CFLRS, few, if any reserve BMQs are done there.
In all likelihood, Reserve BMQ will not give you day to day access to laptops, and neither can you count on it at CFLRS. What I did was finally make the jump to a smartphone just before basic and got a good data plan. It was easily the most convenient and cost-effective method.