Governance is a verb. Governance is how you make decisions, how you govern.
Strategy is what you want to do; strategy is the future you're hoping to get and the path you need to get there. Strategy is frequently encapsulated in strategic plans, tactical plans, vision statements, and even in project charters.
A contrived example; every company has a strategy for hiring. Some companies won't hire until they have > 100% FTE work (meaning that there is no "bench" and everyone is constantly slightly overworked). Other companies will hire based on potential (meaning that sometimes they are paying someone who is not billable - "bench"). Some companies will hire "on spec" before the contract is awarded, some companies hire junior people on the assumption that they'll grow into the position; other companies hire only perfectly qualified people. Those are all hiring strategies.
But that is different from how they make decisions. If a company's strategy is to hire only when the work exceeds the staff by more than 1 FTE someone has to make that decision. Someone has to measure the current work, the current staffing level and decide that the difference is greater than an FTE. Some companies make that decision autocratically - the hiring manager decides. Other companies have senior leadership team that decides. Some companies delegate the decision down to the hiring manager, others require consultation or approval from various stakeholders.
Governance is how you make decisions, who is involved, whether the decision is consultative, advisory or autocratic, whether the decision is transparent or not, etc. Governance frequently involves a RACI (Responsible, Accountable, Consulted, Informed) chart.
Strategy defines the future you want, and the path you take to get there. Governance defines how you make decisions along the path.