DOC: fix SA01 for pandas.MultiIndex.get_level_values (#59400)

Co-authored-by: Matthew Roeschke <10647082+mroeschke@users.noreply.github.com>

ci/code_checks.sh

@@ -70,7 +70,6 @@ if [[ -z "$CHECK" || "$CHECK" == "docstrings" ]]; then
         --format=actions \
         -i ES01 `# For now it is ok if docstrings are missing the extended summary` \
         -i "pandas.Series.dt PR01" `# Accessors are implemented as classes, but we do not document the Parameters section` \
-        -i "pandas.MultiIndex.get_level_values SA01" \
         -i "pandas.MultiIndex.get_loc_level PR07" \
         -i "pandas.MultiIndex.names SA01" \
         -i "pandas.MultiIndex.reorder_levels RT03,SA01" \

pandas/core/indexes/multi.py

@@ -1783,6 +1783,16 @@ def get_level_values(self, level) -> Index:  # type: ignore[override]
         Return vector of label values for requested level.
 
         Length of returned vector is equal to the length of the index.
+        The `get_level_values` method is a crucial utility for extracting
+        specific level values from a `MultiIndex`. This function is particularly
+        useful when working with multi-level data, allowing you to isolate
+        and manipulate individual levels without having to deal with the
+        complexity of the entire `MultiIndex` structure. It seamlessly handles
+        both integer and string-based level access, providing flexibility in
+        how you can interact with the data. Additionally, this method ensures
+        that the returned `Index` maintains the integrity of the original data,
+        even when missing values are present, by appropriately casting the
+        result to a suitable data type.
 
         Parameters
         ----------
@@ -1796,6 +1806,13 @@ def get_level_values(self, level) -> Index:  # type: ignore[override]
             Values is a level of this MultiIndex converted to
             a single :class:`Index` (or subclass thereof).
 
+        See Also
+        --------
+        MultiIndex : A multi-level, or hierarchical, index object for pandas objects.
+        Index : Immutable sequence used for indexing and alignment.
+        MultiIndex.remove_unused_levels : Create new MultiIndex from current that
+            removes unused levels.
+
         Notes
         -----
         If the level contains missing values, the result may be casted to