1) A usermode process has its own \"address context\", which maps the user-mode virtual addresses to a unique collection of physical page frames. That is, the meaning
The concept used is the "user/kernel address space split". Each process address space is split into a lower portion (typically 2 GB) that is accessible to the process in user mode and differs for each process, and an upper portion (the remaining address space) that is only accessible in kernel mode, and is the same for every process.
When the driver allocates paged memory, it is allocated on the kernel side of the address space split, so it will be visible to kernel code no matter which processes page tables are loaded at the time (since this part of the address space is mapped in the same way for every process).