I am assuming this is a pci card?
Open a terminal and input:
lspci -vv | grep -i wireless
This should tell you the wireless nic and the chip that it has. From there you can see if there is a driver (native to Linux), to which you may build and install it.
ⱰⱰUPDATEⱰⱰ
Upon looking at the results that you posted with the lspci -nnk | grep, it seems that the kernel loaded the wrong driver. You can obtain the Ralink driver for Linux here : http://www.ralinktech.com/en/04_support/support.php?sn=501 (RT3062PCI/mPCI/CB/PCIe(RT3060/RT3062/RT3562/RT3592))
1. After you download the archive file, you need to extract the files to a location on you computer, (within your home folder will do). Do this via the mouse or the terminal. There is one thing that you need to check before you attempt to compile this.
2. After extracting, you will get a folder "DPO_RT3562_3592_3062_LinuxSTA_V2.4.1.1_20101217" within this folder open up os > linux . Within the Linux Folder, find the file config.mk and open it up.
In the config.mk Locate;
# Support Wpa_Supplicant
HAS_WPA_SUPPLICANT=n
# Support Native WpaSupplicant for Network Manager
HAS_NATIVE_WPA_SUPPLICANT_SUPPORT=n
**and change the n's to y's like so:
# Support Wpa_Supplicant
HAS_WPA_SUPPLICANT=y
# Support Native WpaSupplicant for Network Manager
HAS_NATIVE_WPA_SUPPLICANT_SUPPORT=y
save it and exit.
3. Now you need to make sure that you have the latest Linux Header, and the compiler. Open a terminal, connect to the Internet via Ethernet and input: (You may copy and paste to the terminal via the mouse).
sudo aptitude install linux-headers-`uname -r` build-essential
4. After this is done, you will need to log into the super user account via the terminal. To do this, type in "su" (without quotations) and hit enter. It should prompt you for a password, if it doesn't, you will need to set up a root user password (to do this type in "su passwd" and hit enter. Then enter a new password to the root account).
5. When you are in the root account, you will need to change to the proper directory. You can do this by right clicking with the mouse in the DPO_RT3562_3592_3062_LinuxSTA_V2.4.1.1_20101217 and click on open in terminal or enter via the terminal and type in:
(VIA Terminal, this is assuming that you extract the files to the home folder)
cd /home/user/DPO_RT3562_3592_3062_LinuxSTA_V2.4.1.1_20101217
User will be your user account, to quicken this, type in a couple of the characters and hit tab which will complete the input for you.
When in the proper director, copy and paste this in:
make && make install && modprobe rt2860sta && lsmod | grep rt2860sta &&echo rt2860sta >> /etc/modules
6. Type in "exit" to exit out of the root account, and reboot your computer. From there you should have Wireless access.
NOTE: Ubuntu sends out Patched Kernels every once in a while which replaces the old one, when you install a patched kernel from them, you get a different Linux Header, and you will need to reinstall the driver again. (You will not have to worry about installing the compiler again, just follow from step 5)