The tiny image in the SPI flash is too small to hold sshd. However even this small image has an ftpd server (busybox') which you can use to browse Galileo files remotely using Internet Explorer or any other ftp client. Start the server like this:
telnetd -l /bin/sh
tcpsvd 0ftp ftpd -w &
Using PPP these can also be used over a serial cable (instead of Ethernet); see more PPP details here: Galileo Minicom issues