What is a file-system?
In simple, its a way we write data on to Disks is called as file-system. There aremany File-systems supported by Linux.
What is  block size in Linux?
A block is a sequence of bit or Bytes with a fixed length ie 512 bytes, 4kB, 8kB, 16kB, 32kB etc.
blockdev --getbsz partition
Example
# blockdev --getbsz /dev/sda1 
4096
So the block size of this file system is 4kB.