Manila can fruit alone, but it still benefits from a partner. Most mangoes can fruit with their own pollen, but another mango nearby often improves fruit set, fruit size, and reliability when bloom weather is uneven. It flowers in early-mid bloom, which is worth knowing if you add a second tree later. Usually grown in USDA zones 10-11.
No single variety stands out as the obvious partner, but that is not a problem here: Alphonso, Ataulfo / Honey, Carrie, Cogshall, and Glenn all bloom close enough to work. There are 5 more in the list below. Pick whichever your nursery actually carries. Keep mango partners close enough for bees and other blossom visitors to move easily between trees. In container or greenhouse plantings, even a second tree nearby can help when bloom weather is uneven.
One thing to keep in mind. Most named mangoes can fruit on their own, but a second mango nearby can still improve fruit set and crop consistency in warm climates. Mangoes are only dependable outdoors in frost-free or near-frost-free climates. In cooler zones they usually need a container, greenhouse, or winter protection. Chill note: No chill requirement. Often used as a practical backyard mango in warm dry climates and for container training where winters are protected.
To put that into practice: at a minimum, one named mango can fruit in a warm enough climate, protected greenhouse, or large container setup. Better still, plant two mango cultivars with overlapping bloom if your climate supports them, especially if you want steadier crops and better fruit set during erratic bloom weather. If you garden outside frost-free conditions, solve winter protection and heat first. A second mango helps, but climate fit matters more than adding another cultivar.