How to connect to Wi-Fi on lunux with a Lenovo S21e Laptop?

Helps if you say which linux product and version number you are using.

Try use your absolute path to 'lspci' eg '/sbin/lspci'
as some hardware/software details may be denied access except when access as root user.

(I needed use command: /sbin/lspci -nn )

To view list of hardware with terminal command: lspci -nn

To view verbose detailed list use terminal command: lspci -nnv

from Lenovo site for your Standard Ports
1 x USB 3.0, 1 x USB 2.0, 2-in-1 card reader (SD/MMC), audio combo jack, micro-HDMI

Driver updates may need be copied across computers using USB RAM devices so can install them.

IF the Lenovo BGN Wireless is the rebadged Realtek BGN Wi-Fi card it is likely to be supported out of the box by an 8192 driver, which was integrated into the Linux kernel from version 3.2.
Some cards suffered from access point association and connection stability problems, especially in meshed wireless networks due to poor wireless radius detection.

As driver development by Realtek appeared to stop around January 2012 many users swapped from the Realtek wireless card for other supported cards.

Some users since found their actual cards changed to different mixed Wi-Fi and bluetooth cards.

[ My lspci results shows my hardware is Realtek Semiconductor Co., Ltd. RTL8169 PCI Gigabit Ethernet Controller, which uses the r8169 driver software provided with my openSUSE package. ]

Other appropriate information may be found for your linux product version (eg openSUSE/Ubuntu/Debian/etc) specialist forum, or a linux specialist forum like linuxquestions.org.

Or post some additional details of your machine, device, and OS versions here ;-)

S21e linux trackpad