Can I upgrade my MacBook Pro Mid 2010 to 8 or 16 GB RAM? I was told that I could only upgrade to 4 GB. I read on your site that as of 2014 it’s possible to upgrade to 8 GB or 16 GB?  

Is this true and how do I do this?

Specs: MacBook Pro (13-inch, Mid 2010) 2.4 GHz Intel Core 2 Duo equipped with 4 GB 1067 MHz DDR3.
You probably mean upgrading the RAM to 8 GB or 16 GB.

According to the following Apple support website, your MacBook Pro has a maximum RAM capacity of 8 GB:
https://support.apple.com/en-us/HT201165

You would need to get two 4 GB modules with the correct specifications (PC3-8500 DDR3 1066 MHz type RAM) and replace them according to the steps described by Apple for your specific device.