The phrase "to receive some notions" means to be introduced to or gain ideas or beliefs about something. It implies receiving information or understanding on a particular topic or subject. Full definition
The «received notions as to fact» are in doubt as well as the new theory (PR 13). (religion-online.org)
The deliberate shunning of received notions of good technique may be seen in the wider context of a general post-war quest for the «authentic» and «natural». (tate.org.uk)
Reluctant to affirm those features of actual communities that often challenge received notions of liberal autonomy, many American communitarians find it easier to embrace a political ideal of community that poses no such challenge. (firstthings.com)