How can I avoid the p tag and white space from being produced automatically when converting to html?

Questions
2

I also encountered this problem when I first used Typst.
The quirk is that Typst has three syntactical modes: markup, math, and code. Markup mode is the default in a Typst document, and it’s also the mode inside […]; code mode is the mode after # and inside {…}. In markup mode, spaces and newlines become spaces; but in code mode, they vanish.

To see that, you can copy the following Typst document to your editor, and hover the variable markup-mode or code-mode. You’ll see that the value of markup-mode is a sequence of space, A, space, B, space, and that of code-mode is A and B concatenated without any space in between.

#let a = "A"
#let b = "B"

#let markup-mode = [
  #a
  #b
]

#let code-mode = {
  a
  b
}

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(Copied from How can I add a dotted line like bibliography between two texts that are left and right aligned? - #5 by Y.D.X)

In your case, try replacing html.html(…)[…] with html.html(…, {…}):

#let itemplate(
  title: "Document",
  lang: "en",
  contents,
) = {
  html.html(lang: lang, {
    html.head({
      html.meta(charset: "utf-8")
      html.title(title)
    })
    html.body(
      html.div(class: ("container1", "container2"), {
        html.span(class: ("text",))[some text]
        contents
      }),
    )
  })
}