Does Gmail have mail merge?

Yes, on eligible Google Workspace plans, according to Google Help.

Is there a free mail merge for Gmail?

Google's Apps Script sample is free to use. Add-ons and apps vary, so check each one's pricing.

What is the Gmail mail merge limit?

Google lists up to 1,500 recipients a day for mail merge on eligible plans.

Can You Mail Merge in Free Gmail? What Works Without Workspace

Gmail's built-in mail merge isn't available on a standard free Gmail account. Google's help page lists it for eligible Workspace plans only (Google Help: mail merge). Free Gmail users can still send personalised individual emails with Google's own Apps Script mail merge sample, a Google Sheets add-on, or a sending app, and Gmail's 500-a-day limit still applies.

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Plans that include Gmail mail merge

According to Google, they are Workspace Individual, Business Standard, Business Plus, Enterprise Standard, Enterprise Plus, Education Standard and Education Plus (source).

Free route 1: Google's Apps Script sample

Google publishes a mail merge sample for Gmail and Sheets (Google for Developers). You write a draft with placeholders like {{First name}}, copy the sample sheet, and run the script from the sheet's menu. It's free, but it's a bit technical.

Free route 2: Sheets add-ons

Several add-ons in the Google Workspace Marketplace offer free tiers with a daily cap. Check each one's current terms and the access it asks for.

Route 3: an iPhone app

Envora by KIDA Studios sends from your own Gmail or Workspace account on iPhone. You import a CSV, compose in text or HTML, preview and send in throttled batches. It uses a Google App Password (Google Help). It's free to download and comes with a 7-day free trial; after that, a one-time $39.99 Lifetime Unlock keeps it working (US App Store price).

Limits still apply

Every route sends through Gmail, so the personal-account limit of 500 a day described in Gmail Help still applies (source).