Is there a shot or an i.V. Involved when doing a blood type?

No. Just a needle prick to get blood sample.
Blood typing. A shot or IV involves injecting something into one's body, like a medication or vaccine in the case of a shot, or, usually some type of fluid in the case of an iv. Having blood drawn for a lab test is quite different, an involves a needle stick in one's vein accompanied by blood being taken and gently sucked into a small tube which contains a slight vacuum to facilitate the test.
Blood sample. Blood is typed by sending a sample to the laboratory. It is obtained by either a blood sampling (needle stick - tiny) or a pin prick to the finger. The discomfort is trivial and if you need the information it is well worth it.