The bard and cleric classes make interesting points of comparison to one another. On the one hand, they are both very support-heavy classes; both have a number of healing and buffing spells and features available to them. On the other hand, the mechanics and flavor of this support are quite different; bards tend to use their class features like Bardic Inspiration and Battle Hymns more for support and clerics mostly use their large spell list and occasionally their archetype features.
The flavor is a mix of complementary and contrasting; bards are highly-individualistic and the common tropes tend to hedonism, cleverness, and chicanery whereas clerics are typically part of a religious hierarchy and tend to have codes of conduct accordingly. They also serve a divine patron of some type, whereas bards do not have such an agreement. However, by way of commonality, there’s no denying that music is an incredibly important part of a huge number of religious traditions and also that bards and clerics share a common focus on healing and aid.
Mechanically, you have the traditional “two spellcasting abilities” problem. Bards use Charisma for their spellcasting and class features and clerics use Wisdom. Fortunately, those are pretty much the only ability scores you need to worry about after character creation (though as in most cases, a bit of extra Dexterity and Constitution will not go amiss), which brings down the pressure a bit. A character with more levels in cleric will have a larger variety of spells at their disposal, while a stronger focus on bard levels generally means more versatility in other areas such as skill use and social/ covert abilities. Both classes have a pretty robust social component to them, but the flavor differs. An even mix creates a highlyversatile support caster with a broad skill set.
[[Synergy Feats for Multiclassers#Bard w/ Cleric|Bard-Cleric chains and ideas]]