Yes they do share the same subject. Happy birthday.
The sentence has a compound predicate.
A sentence with two or more verbs is called a compound verb sentence.
Verb phrase.I have been calling you for ages, where have you been?
A compound sentence is a sentence that contains two or more simple sentences joined by and, or, or but; a compound predicate is a predicate that has two or more verbs with the same subject. Example:Mr. Jones took the invitations to the post office, and he stamped and mailed them.
A compound subject eg A fool and his money are easily parted.
A compound predicate is two or more simple predicates joined by a conjunction that indicate actions by the same subject.Example : "Bill picked up the mail and walked the dog." Bill is the subject for both verbs.
fixed-form helping verbs
When the nouns of a compound subject or object share the same thing, use just one apostrophe for the last noun of the compound group:Bill and Karen's dog is a malamute.When the nouns of a compound subject or object differ in ownership, then both nouns are possessive:Bill's and Karen's dogs both won prizes.
Two or more subjects with the same verb is a compound subject.
compound
verb
When the nouns of a compound subject or object share the same thing, use just one apostrophe for the last noun of the compound group:Mary and Tom's dog is a malamute.When the nouns of a compound subject or object differ in ownership, then both nouns are possessive:Mary's and Tom's dogs both won prizes.