How does the updating work on android applications SQLite

I have had a look online and some tutorials but i am struggling to understand the Sq lite stuff with updating users.

I will be making an android application in C# using xamarin and i need to have a database attached and the users will add to it with various bits of information. So from what i have researched you can use SQlite which is basically a database that's sort of within the application? not sure if that is correct. So should you use this over connection to MySQL remote database? is it even possible to connect to remote database?

Finally how does the updating work with android applications, does the users application update every time more information is added to the SQLite database, i cant imagine it does so how does it do it? i am just really confused on the subject at the minute and need some things clarifying.

cheers