Hi @Shruhti,
This indeed odd, my first assumption would be that the 'select 1' queries are triggered by a client application such as a BI tool silently. Maybe to check/keep the connection alive?
Might worth checking the trace level driver logs, that could verify if the queries are coming from a tool/application. This can be done by changing the driver log level, which is described here for ODBC.
Additionally, the query profile contains a Network Address as well, this should help confirm whether the source of the query is valid.