GH-34255: Add information about meetings to Community page (#321)

Closes apache/arrow#34255

Author: ianmcook

community.md

@@ -79,6 +79,36 @@ community and for maintaining a queue of development work and as the public
 record of work on the project. We use the mailing lists for development discussions,
 where a lengthy discussions is required.
 
+### Meetings
+
+We host online meetings to provide spaces for synchronous discussions about the Arrow project. These discussions usually focus on topics of interest to developers who are contributing to Arrow, but we welcome users of Arrow to join. Currently there are three series of regularly held meetings:
+
+<table class="table table-striped"><thead>
+<tr>
+<th>Meeting</th>
+<th>Frequency</th>
+<th>Notes</th>
+</tr>
+</thead><tbody>
+  <tr>
+    <td>Arrow community meting</td>
+    <td>Biweekly</td>
+    <td><a href="https://docs.google.com/document/d/1xrji8fc6_24TVmKiHJB4ECX1Zy2sy2eRbBjpVJMnPmk/">Google Doc</a></td>
+  </tr>
+  <tr>
+    <td>Arrow R package development meeting</td>
+    <td>Biweekly</td>
+    <td><a href="https://docs.google.com/document/d/1nSIfJw8mfqtvScqvSVqmktpWff80pFmkqiZT7nTtiDo/">Google Doc</a></td>
+  </tr>
+  <tr>
+    <td>Arrow Rust sync meeting</td>
+    <td>Biweekly</td>
+    <td><a href="https://docs.google.com/document/d/1atCVnoff5SR4eM4Lwf2M1BBJTY6g3_HUNR6qswYJW_U/">Google Doc</a></td>
+  </tr>
+</tbody></table>
+
+For information about how to attend these meetings, see the meeting notes and subscribe to the <code>dev@</code> mailing list as described above. The hosts of some of these meetings send reminder emails to the mailing list prior to each meeting with information about how to join.
+
 ## Contributing
 
 As mentioned above, we use [GitHub](https://github.com/apache/arrow) for our issue